Hadamard product
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On the Hermite–Hadamard inequalities for interval-valued coordinated convex functions Open
In this work, we introduce the notion of interval-valued coordinated convexity and demonstrate Hermite–Hadamard type inequalities for interval-valued convex functions on the co-ordinates in a rectangle from the plane. Moreover, we prove He…
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A Note on Hadamard Fractional Differential Equations with Varying Coefficients and Their Applications in Probability Open
In this paper, we show several connections between special functions arising from generalized Conway-Maxwell-Poisson (COM-Poisson) type statistical distributions and integro-differential equations with varying coefficients involving Hadama…
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Integral inequalities via Raina’s fractional integrals operator with respect to a monotone function Open
We establish certain new fractional integral inequalities involving the Raina function for monotonicity of functions that are used with some traditional and forthright inequalities. Taking into consideration the generalized fractional inte…
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Fractional generalized Hadamard and Fejér-Hadamard inequalities for <i>m</i>-convex functions Open
The objective of this paper is to present the fractional Hadamard and Fejér-Hadamard inequalities in generalized forms. By employing a generalized fractional integral operator containing extended generalized Mittag-Leffler function involvi…
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SUBCLASS OF MEROMORPHIC FUNCTIONS WITH POSITIVE COEFFICIENTS DEFINED BY RUSCHEWEYH DERIVATIVE II Open
New class Σλ(α, β, γ) of univalent meromorphic functions defined by Ruscheweyh derivative in the punctured unit disk U ∗ is introduced. We study several Hadamard product proper-ties. Some results connected to inclusion relations, neighborh…
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Recompression of Hadamard Products of Tensors in Tucker Format Open
The Hadamard product features prominently in tensor-based algorithms in scientific computing and data analysis. Due to its tendency to significantly increase ranks, the Hadamard product can represent a major computational obstacle in algor…
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Coupled systems of Riemann-Liouville fractional differential equations with Hadamard fractional integral boundary conditions Open
In this paper we study existence and uniqueness of solutions for coupled systems consisting from fractional differential equations of Riemann-Liouville type subject to coupled and uncoupled Hadamard fractional integral boundary conditions.…
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SIMPSON’S TYPE INEQUALITIES VIA THE KATUGAMPOLA FRACTIONAL INTEGRALS FOR s-CONVEX FUNCTIONS Open
In this paper, we introduce some Simpson’s type integral inequalities via the Katugampola fractional integrals for functions whose first derivatives at certain powers are s-convex (in the second sense). The Katugampola fractional integrals …
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An update on a few permanent conjectures Open
We review and update on a few conjectures concerning matrix permanent that are easily stated, understood, and accessible to general math audience. They are: Soules permanent-on-top conjecture†, Lieb permanent dominance conjecture, Bapat an…
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A 2-Categorical Approach to Composing Quantum Structures Open
We present an infinite number of construction schemes for quantum structures, including unitary error bases, Hadamard matrices, quantum Latin squares and controlled families, many of which have not previously been described. Our results re…
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New Hadamard and Fejér-Hadamard fractional inequalities for exponentially m-convex function Open
In this article, we present new fractional Hadamard and Fejér-Hadamard inequalities for generalized fractional integral operators containing Mittag-Leffler function via a monotone function. To establish these inequalities we will use expon…
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A certain subclass of multivalent functions involving higher-order derivatives Open
In this paper we introduce and study a new class of analytic and p-valent functions involving higher-order derivatives. For this p-valent function class, we derive several interesting properties including (for example) coefficient inequali…
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On Meromorphic Functions Defined by a New Operator Containing the Mittag–Leffler Function Open
This study defines a new linear differential operator via the Hadamard product between a q-hypergeometric function and Mittag–Leffler function. The application of the linear differential operator generates a new subclass of meromorphic fun…
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CONSTRUCTION OF SYMMETRIC HADAMARD MATRICES Open
We systematically explore the new method of construction (known as the propus\nconstruction) of symmetric Hadamard matrices for small orders, $4v$. In\nparticular we give the first examples of symmetric Hadamard matrices of order\n$156=4\\…
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Hermite–Hadamard Type Inclusions for Interval-Valued Coordinated Preinvex Functions Open
The connection between generalized convexity and symmetry has been studied by many authors in recent years. Due to this strong connection, generalized convexity and symmetry have arisen as a new topic in the subject of inequalities. In thi…
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Hadamard functional fractional integrals and derivatives and fractional differential equations Open
This paper introduces a general type of new version of Hadamard fractional integrals and derivatives with respect to another function and studies some of their properties. Further, we prove the existence results for fractional differential…
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On Hadamard-type inequalities for <i>m</i>-convex functions via Riemann-Liouville fractional integrals Open
In this paper we prove Hadamard-type inequalities for m-convex function via Riemann-Liouville fractional integrals and Hadamard-type in- equalities for convex function via Riemann-Liouville fractional integral are deduced. Also we find con…
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Nonlocal Boundary Value Problems for Riemann-Liouville Fractional Differential Inclusions with Hadamard Fractional Integral Boundary Conditions Open
In this paper we study a new class of boundary value problemsconsisting of a\nfractional differential inclusion of Riemann-Liouville typeand Hadamard fractional\nintegral conditions. Some new existence results forconvex as well as non-conv…
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On positive solutions of a system of equations generated by Hadamard fractional operators Open
This paper is devoted to studying some systems of quadratic differential and integral equations with Hadamard-type fractional order integral operators. We concentrate on general growth conditions for functions generating right-hand side of…
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Some New Estimates of Hermite–Hadamard Inequalities for Harmonical cr-h-Convex Functions via Generalized Fractional Integral Operator on Set-Valued Mappings Open
The application of fractional calculus to interval analysis is vital for the precise derivation of integral inequalities on set-valued mappings. The objective of this article is to reformulated the well-known Hermite–Hadamard inequality in…
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Hadamard products and binomial ideals Open
We study the Hadamard product of two varieties V and W, with particular attention to the situation when one or both of V and W is a binomial variety. The main result of this paper shows that when V and W are both binomial varieties, and th…
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Generalized fractional Hadamard type inequalities for \(Q_s\)-class functions of the second kind Open
New Hadamard type inequalities for a class of \(s\)-Godunova-Levin functions of the second kind for fractional integrals are obtained. These new estimates extend and generalize some existing results for the \(Q\)-class and \(P\)-class func…
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Riemann-Liouville Fractional Versions of Hadamard inequality for Strongly m-Convex Functions Open
This paper deals with Hadamard inequalities for strongly m-convex functions via Riemann-Liouville fractional integrals. These inequalities provide refinements of well known fractional integral inequalities for convex functions. Further, by…
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Certain Geometric Properties of Meromorphic Functions Defined by a New Linear Differential Operator Open
In the present paper, we investigate a new linear operator through the Hadamard product between the fundamental hypergeometric function and the Mittag Leffler function. Furthermore, the geometric properties of a new meromorphic function su…
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Applications of q-Calculus Multiplier Operators and Subordination for the Study of Particular Analytic Function Subclasses Open
In this article, a new linear extended multiplier operator is defined utilizing the q-Choi–Saigo–Srivastava operator and the q-derivative. Two generalized subclasses of q—uniformly convex and starlike functions of order δ—are defined and s…
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Comprehensive subclasses of multivalent functions with negative coefficients defined by using a q-difference operator Open
Motivated by q-analogue theory, we define here q-analogue of p-valent Salagean differential operator. Then we introduce a new subclass of starlike and convex functions with negative coefficients, for which we obtain some properties such as…
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Hadamard and Fejer-Hadamard type integral inequalities for harmonically convex functions via an extended generalized Mittag-Leffler function Open
In this paper generalized form of some new inequalities of the Hadamard and the Fejer-Hadamard type have been established. Fractional integral operators due to an extended generalized Mittag-Leffler function via harmonically convex functio…
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Khatri-Rao Products for Operator Matrices Acting on the Direct Sum of Hilbert Spaces Open
We introduce the notion of Khatri-Rao product for operator matrices acting on the direct sum of Hilbert spaces. This notion generalizes the tensor product and Hadamard product of operators and the Khatri-Rao product of matrices. We investi…
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New inequalities for the Hadamard product of an M-matrix and its inverse Open
For the Hadamard product $A\circ A^{-1}$ of an M-matrix A and its inverse $A^{-1}$ , some new inequalities for the minimum eigenvalue of $A\circ A^{-1}$ are derived. Numerical example is given to show that the inequalities are better than …
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Initial Value Problem for Stochastic Hyprid Hadamard Fractional Differential Equation Open
In this paper, we discuss the existence of solutions for a stochastic initial value problem of Hyprid fractional dierential equations of Hadamard type given by
where HD is the Hadamard fractional derivative, and is the Hadamard fractio…