New Hermite-Hadamard inequalities via fractional integrals, whose absolute values of second derivatives is P-convex Article Swipe

PDF

Shahid Qaisar , Farooq Ahmad , Sever S Dragomir , Muhammad Iqbal ·

YOU? · · 2018 · Open Access · · DOI: https://doi.org/10.7153/jmi-2018-12-50

In this research article, authors have established a general integral identity for Riemann-Liouville fractional integrals.Some new results related to the left-hand side of Hermite-Hadamard type integral inequalities utilizing this integral identity for the class of functions whose second derivatives at some power are P-convex are obtained.The presented results have some closely connection with [M.

Related Topics

Mathematics

Inequality (Mathematics)

Mathematical Analysis

Geometry

Philosophy

Epistemology

Concepts

Mathematics Hadamard transform Hermite polynomials Pure mathematics Regular polygon Convex function Inequality Absolute (philosophy) Mathematical analysis Geometry Philosophy Epistemology

Metadata

Type: article
Language: en
Landing Page: https://doi.org/10.7153/jmi-2018-12-50
PDF: http://files.ele-math.com/abstracts/jmi-12-50-abs.pdf
OA Status: diamond
Cited By: 5
References: 8
Related Works: 10
OpenAlex ID: https://openalex.org/W2893174650

All OpenAlex metadata

Raw OpenAlex JSON

OpenAlex ID: https://openalex.org/W2893174650

Canonical identifier for this work in OpenAlex
DOI: https://doi.org/10.7153/jmi-2018-12-50

Digital Object Identifier
Title: New Hermite-Hadamard inequalities via fractional integrals, whose absolute values of second derivatives is P-convex

Work title
Type: article

OpenAlex work type
Language: en

Primary language
Publication year: 2018

Year of publication
Publication date: 2018-01-01

Full publication date if available
Authors: Shahid Qaisar, Farooq Ahmad, Sever S Dragomir, Muhammad Iqbal

List of authors in order
Landing page: https://doi.org/10.7153/jmi-2018-12-50

Publisher landing page
PDF URL: https://files.ele-math.com/abstracts/jmi-12-50-abs.pdf

Direct link to full text PDF
Open access: Yes

Whether a free full text is available
OA status: diamond

Open access status per OpenAlex
OA URL: https://files.ele-math.com/abstracts/jmi-12-50-abs.pdf

Direct OA link when available
Concepts: Mathematics, Hadamard transform, Hermite polynomials, Pure mathematics, Regular polygon, Convex function, Inequality, Absolute (philosophy), Mathematical analysis, Geometry, Philosophy, Epistemology

Top concepts (fields/topics) attached by OpenAlex
Cited by: 5

Total citation count in OpenAlex
Citations by year (recent): 2024: 1, 2022: 1, 2021: 1, 2019: 2

Per-year citation counts (last 5 years)
References (count): 8

Number of works referenced by this work
Related works (count): 10

Other works algorithmically related by OpenAlex

Full payload

id	https://openalex.org/W2893174650
doi	https://doi.org/10.7153/jmi-2018-12-50
ids.doi	https://doi.org/10.7153/jmi-2018-12-50
ids.mag	2893174650
ids.openalex	https://openalex.org/W2893174650
fwci	1.08128079
type	article
title	New Hermite-Hadamard inequalities via fractional integrals, whose absolute values of second derivatives is P-convex
biblio.issue	3
biblio.volume
biblio.last_page	664
biblio.first_page	655
topics[0].id	https://openalex.org/T11564
topics[0].field.id	https://openalex.org/fields/26
topics[0].field.display_name	Mathematics
topics[0].score	1.0
topics[0].domain.id	https://openalex.org/domains/3
topics[0].domain.display_name	Physical Sciences
topics[0].subfield.id	https://openalex.org/subfields/2604
topics[0].subfield.display_name	Applied Mathematics
topics[0].display_name	Mathematical Inequalities and Applications
topics[1].id	https://openalex.org/T11191
topics[1].field.id	https://openalex.org/fields/26
topics[1].field.display_name	Mathematics
topics[1].score	0.9668999910354614
topics[1].domain.id	https://openalex.org/domains/3
topics[1].domain.display_name	Physical Sciences
topics[1].subfield.id	https://openalex.org/subfields/2604
topics[1].subfield.display_name	Applied Mathematics
topics[1].display_name	Mathematical functions and polynomials
topics[2].id	https://openalex.org/T12508
topics[2].field.id	https://openalex.org/fields/26
topics[2].field.display_name	Mathematics
topics[2].score	0.9362999796867371
topics[2].domain.id	https://openalex.org/domains/3
topics[2].domain.display_name	Physical Sciences
topics[2].subfield.id	https://openalex.org/subfields/2604
topics[2].subfield.display_name	Applied Mathematics
topics[2].display_name	Functional Equations Stability Results
is_xpac	False
apc_list
apc_paid
concepts[0].id	https://openalex.org/C33923547
concepts[0].level	0
concepts[0].score	0.897727906703949
concepts[0].wikidata	https://www.wikidata.org/wiki/Q395
concepts[0].display_name	Mathematics
concepts[1].id	https://openalex.org/C60292330
concepts[1].level	2
concepts[1].score	0.7728155851364136
concepts[1].wikidata	https://www.wikidata.org/wiki/Q1014065
concepts[1].display_name	Hadamard transform
concepts[2].id	https://openalex.org/C201362023
concepts[2].level	2
concepts[2].score	0.7538814544677734
concepts[2].wikidata	https://www.wikidata.org/wiki/Q658574
concepts[2].display_name	Hermite polynomials
concepts[3].id	https://openalex.org/C202444582
concepts[3].level	1
concepts[3].score	0.5306441187858582
concepts[3].wikidata	https://www.wikidata.org/wiki/Q837863
concepts[3].display_name	Pure mathematics
concepts[4].id	https://openalex.org/C112680207
concepts[4].level	2
concepts[4].score	0.4682745933532715
concepts[4].wikidata	https://www.wikidata.org/wiki/Q714886
concepts[4].display_name	Regular polygon
concepts[5].id	https://openalex.org/C145446738
concepts[5].level	3
concepts[5].score	0.46147534251213074
concepts[5].wikidata	https://www.wikidata.org/wiki/Q319913
concepts[5].display_name	Convex function
concepts[6].id	https://openalex.org/C45555294
concepts[6].level	2
concepts[6].score	0.4599960744380951
concepts[6].wikidata	https://www.wikidata.org/wiki/Q28113351
concepts[6].display_name	Inequality
concepts[7].id	https://openalex.org/C2777487392
concepts[7].level	2
concepts[7].score	0.4197949767112732
concepts[7].wikidata	https://www.wikidata.org/wiki/Q481201
concepts[7].display_name	Absolute (philosophy)
concepts[8].id	https://openalex.org/C134306372
concepts[8].level	1
concepts[8].score	0.31775614619255066
concepts[8].wikidata	https://www.wikidata.org/wiki/Q7754
concepts[8].display_name	Mathematical analysis
concepts[9].id	https://openalex.org/C2524010
concepts[9].level	1
concepts[9].score	0.06156042218208313
concepts[9].wikidata	https://www.wikidata.org/wiki/Q8087
concepts[9].display_name	Geometry
concepts[10].id	https://openalex.org/C138885662
concepts[10].level	0
concepts[10].score	0.0
concepts[10].wikidata	https://www.wikidata.org/wiki/Q5891
concepts[10].display_name	Philosophy
concepts[11].id	https://openalex.org/C111472728
concepts[11].level	1
concepts[11].score	0.0
concepts[11].wikidata	https://www.wikidata.org/wiki/Q9471
concepts[11].display_name	Epistemology
keywords[0].id	https://openalex.org/keywords/mathematics
keywords[0].score	0.897727906703949
keywords[0].display_name	Mathematics
keywords[1].id	https://openalex.org/keywords/hadamard-transform
keywords[1].score	0.7728155851364136
keywords[1].display_name	Hadamard transform
keywords[2].id	https://openalex.org/keywords/hermite-polynomials
keywords[2].score	0.7538814544677734
keywords[2].display_name	Hermite polynomials
keywords[3].id	https://openalex.org/keywords/pure-mathematics
keywords[3].score	0.5306441187858582
keywords[3].display_name	Pure mathematics
keywords[4].id	https://openalex.org/keywords/regular-polygon
keywords[4].score	0.4682745933532715
keywords[4].display_name	Regular polygon
keywords[5].id	https://openalex.org/keywords/convex-function
keywords[5].score	0.46147534251213074
keywords[5].display_name	Convex function
keywords[6].id	https://openalex.org/keywords/inequality
keywords[6].score	0.4599960744380951
keywords[6].display_name	Inequality
keywords[7].id	https://openalex.org/keywords/absolute
keywords[7].score	0.4197949767112732
keywords[7].display_name	Absolute (philosophy)
keywords[8].id	https://openalex.org/keywords/mathematical-analysis
keywords[8].score	0.31775614619255066
keywords[8].display_name	Mathematical analysis
keywords[9].id	https://openalex.org/keywords/geometry
keywords[9].score	0.06156042218208313
keywords[9].display_name	Geometry
language	en
locations[0].id	doi:10.7153/jmi-2018-12-50
locations[0].is_oa	True
locations[0].source.id	https://openalex.org/S2480022913
locations[0].source.issn	1846-579X, 1848-9575
locations[0].source.type	journal
locations[0].source.is_oa	True
locations[0].source.issn_l	1846-579X
locations[0].source.is_core	False
locations[0].source.is_in_doaj	False
locations[0].source.display_name	Journal of Mathematical Inequalities
locations[0].source.host_organization
locations[0].source.host_organization_name
locations[0].source.host_organization_lineage
locations[0].license
locations[0].pdf_url	http://files.ele-math.com/abstracts/jmi-12-50-abs.pdf
locations[0].version	publishedVersion
locations[0].raw_type	journal-article
locations[0].license_id
locations[0].is_accepted	True
locations[0].is_published	True
locations[0].raw_source_name	Journal of Mathematical Inequalities
locations[0].landing_page_url	https://doi.org/10.7153/jmi-2018-12-50
locations[1].id	pmh:oai:eprints.vu.edu.au:37806
locations[1].is_oa	True
locations[1].source.id	https://openalex.org/S4306400215
locations[1].source.issn
locations[1].source.type	repository
locations[1].source.is_oa	False
locations[1].source.issn_l
locations[1].source.is_core	False
locations[1].source.is_in_doaj	False
locations[1].source.display_name	Victoria University Research Repository (Victoria University)
locations[1].source.host_organization	https://openalex.org/I41156924
locations[1].source.host_organization_name	Victoria University of Wellington
locations[1].source.host_organization_lineage	https://openalex.org/I41156924
locations[1].license	cc-by-nc
locations[1].pdf_url	https://vuir.vu.edu.au/37806/1/jmi-12-50.pdf
locations[1].version	submittedVersion
locations[1].raw_type	PeerReviewed
locations[1].license_id	https://openalex.org/licenses/cc-by-nc
locations[1].is_accepted	False
locations[1].is_published	False
locations[1].raw_source_name
locations[1].landing_page_url	https://vuir.vu.edu.au/37806/
indexed_in	crossref
authorships[0].author.id	https://openalex.org/A5079672279
authorships[0].author.orcid	https://orcid.org/0000-0001-8813-4465
authorships[0].author.display_name	Shahid Qaisar
authorships[0].author_position	first
authorships[0].raw_author_name	Shahid Qaisar
authorships[0].is_corresponding	False
authorships[1].author.id	https://openalex.org/A5064641214
authorships[1].author.orcid	https://orcid.org/0000-0001-5240-5825
authorships[1].author.display_name	Farooq Ahmad
authorships[1].author_position	middle
authorships[1].raw_author_name	Farooq Ahmad
authorships[1].is_corresponding	False
authorships[2].author.id	https://openalex.org/A5061093752
authorships[2].author.orcid	https://orcid.org/0000-0003-2902-6805
authorships[2].author.display_name	Sever S Dragomir
authorships[2].author_position	middle
authorships[2].raw_author_name	Sever Silvestru Dragomir
authorships[2].is_corresponding	False
authorships[3].author.id	https://openalex.org/A5109967458
authorships[3].author.orcid
authorships[3].author.display_name	Muhammad Iqbal
authorships[3].author_position	last
authorships[3].raw_author_name	Muhammad Iqbal
authorships[3].is_corresponding	False
has_content.pdf	True
has_content.grobid_xml	True
is_paratext	False
open_access.is_oa	True
open_access.oa_url	http://files.ele-math.com/abstracts/jmi-12-50-abs.pdf
open_access.oa_status	diamond
open_access.any_repository_has_fulltext	False
created_date	2025-10-10T00:00:00
display_name	New Hermite-Hadamard inequalities via fractional integrals, whose absolute values of second derivatives is P-convex
has_fulltext	False
is_retracted	False
updated_date	2025-11-06T03:46:38.306776
primary_topic.id	https://openalex.org/T11564
primary_topic.field.id	https://openalex.org/fields/26
primary_topic.field.display_name	Mathematics
primary_topic.score	1.0
primary_topic.domain.id	https://openalex.org/domains/3
primary_topic.domain.display_name	Physical Sciences
primary_topic.subfield.id	https://openalex.org/subfields/2604
primary_topic.subfield.display_name	Applied Mathematics
primary_topic.display_name	Mathematical Inequalities and Applications
related_works	https://openalex.org/W2036371107, https://openalex.org/W2364547801, https://openalex.org/W3012286935, https://openalex.org/W2165495960, https://openalex.org/W4235383192, https://openalex.org/W127429320, https://openalex.org/W2917872776, https://openalex.org/W4206205240, https://openalex.org/W4224316538, https://openalex.org/W2277657541
cited_by_count	5
counts_by_year[0].year	2024
counts_by_year[0].cited_by_count	1
counts_by_year[1].year	2022
counts_by_year[1].cited_by_count	1
counts_by_year[2].year	2021
counts_by_year[2].cited_by_count	1
counts_by_year[3].year	2019
counts_by_year[3].cited_by_count	2
locations_count	2
best_oa_location.id	doi:10.7153/jmi-2018-12-50
best_oa_location.is_oa	True
best_oa_location.source.id	https://openalex.org/S2480022913
best_oa_location.source.issn	1846-579X, 1848-9575
best_oa_location.source.type	journal
best_oa_location.source.is_oa	True
best_oa_location.source.issn_l	1846-579X
best_oa_location.source.is_core	False
best_oa_location.source.is_in_doaj	False
best_oa_location.source.display_name	Journal of Mathematical Inequalities
best_oa_location.source.host_organization
best_oa_location.source.host_organization_name
best_oa_location.source.host_organization_lineage
best_oa_location.license
best_oa_location.pdf_url	http://files.ele-math.com/abstracts/jmi-12-50-abs.pdf
best_oa_location.version	publishedVersion
best_oa_location.raw_type	journal-article
best_oa_location.license_id
best_oa_location.is_accepted	True
best_oa_location.is_published	True
best_oa_location.raw_source_name	Journal of Mathematical Inequalities
best_oa_location.landing_page_url	https://doi.org/10.7153/jmi-2018-12-50
primary_location.id	doi:10.7153/jmi-2018-12-50
primary_location.is_oa	True
primary_location.source.id	https://openalex.org/S2480022913
primary_location.source.issn	1846-579X, 1848-9575
primary_location.source.type	journal
primary_location.source.is_oa	True
primary_location.source.issn_l	1846-579X
primary_location.source.is_core	False
primary_location.source.is_in_doaj	False
primary_location.source.display_name	Journal of Mathematical Inequalities
primary_location.source.host_organization
primary_location.source.host_organization_name
primary_location.source.host_organization_lineage
primary_location.license
primary_location.pdf_url	http://files.ele-math.com/abstracts/jmi-12-50-abs.pdf
primary_location.version	publishedVersion
primary_location.raw_type	journal-article
primary_location.license_id
primary_location.is_accepted	True
primary_location.is_published	True
primary_location.raw_source_name	Journal of Mathematical Inequalities
primary_location.landing_page_url	https://doi.org/10.7153/jmi-2018-12-50
publication_date	2018-01-01
publication_year	2018
referenced_works	https://openalex.org/W6602393409, https://openalex.org/W2331055153, https://openalex.org/W47555992, https://openalex.org/W2144711631, https://openalex.org/W1972368641, https://openalex.org/W2006458314, https://openalex.org/W2145886492, https://openalex.org/W2342038768
referenced_works_count	8
abstract_inverted_index.a	7
abstract_inverted_index.In	0
abstract_inverted_index.at	39
abstract_inverted_index.of	22, 34
abstract_inverted_index.to	18
abstract_inverted_index.[M.	53
abstract_inverted_index.are	42, 44
abstract_inverted_index.for	11, 31
abstract_inverted_index.new	15
abstract_inverted_index.the	19, 32
abstract_inverted_index.have	5, 48
abstract_inverted_index.side	21
abstract_inverted_index.some	40, 49
abstract_inverted_index.this	1, 28
abstract_inverted_index.type	24
abstract_inverted_index.with	52
abstract_inverted_index.class	33
abstract_inverted_index.power	41
abstract_inverted_index.whose	36
abstract_inverted_index.second	37
abstract_inverted_index.authors	4
abstract_inverted_index.closely	50
abstract_inverted_index.general	8
abstract_inverted_index.related	17
abstract_inverted_index.results	16, 47
abstract_inverted_index.P-convex	43
abstract_inverted_index.article,	3
abstract_inverted_index.identity	10, 30
abstract_inverted_index.integral	9, 25, 29
abstract_inverted_index.research	2
abstract_inverted_index.functions	35
abstract_inverted_index.left-hand	20
abstract_inverted_index.presented	46
abstract_inverted_index.utilizing	27
abstract_inverted_index.connection	51
abstract_inverted_index.fractional	13
abstract_inverted_index.derivatives	38
abstract_inverted_index.established	6
abstract_inverted_index.inequalities	26
abstract_inverted_index.obtained.The	45
abstract_inverted_index.integrals.Some	14
abstract_inverted_index.Hermite-Hadamard	23
abstract_inverted_index.Riemann-Liouville	12
cited_by_percentile_year.max	96
cited_by_percentile_year.min	89
countries_distinct_count	0
institutions_distinct_count	4
sustainable_development_goals[0].id	https://metadata.un.org/sdg/10
sustainable_development_goals[0].score	0.5199999809265137
sustainable_development_goals[0].display_name	Reduced inequalities
citation_normalized_percentile.value	0.75723841
citation_normalized_percentile.is_in_top_1_percent	False
citation_normalized_percentile.is_in_top_10_percent	False