Sofia Ramzan
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View article: Analysis and Applications of Some New Fractional Integral Inequalities
Analysis and Applications of Some New Fractional Integral Inequalities Open
This paper presents a novel parameterized fractional integral identity. By using this auxiliary result and the s-convexity property of the mapping, a series of fractional variants of certain classical inequalities, including Simpson’s, mid…
View article: On Fractional Ostrowski-Mercer-Type Inequalities and Applications
On Fractional Ostrowski-Mercer-Type Inequalities and Applications Open
The objective of this research is to study in detail the fractional variants of Ostrowski–Mercer-type inequalities, specifically for the first and second order differentiable s-convex mappings of the second sense. To obtain the main outcom…
View article: I.V-CR-γ-Convex Functions and Their Application in Fractional Hermite–Hadamard Inequalities
I.V-CR-γ-Convex Functions and Their Application in Fractional Hermite–Hadamard Inequalities Open
In recent years, the theory of convexity has influenced every field of mathematics due to its unique characteristics. Numerous generalizations, extensions, and refinements of convexity have been introduced, and one of them is set-valued co…
View article: Generalized Jensen’s functional on time scales via extended Montgomery identity
Generalized Jensen’s functional on time scales via extended Montgomery identity Open
In the paper, we use Jensen’s inequality for diamond integrals and generalize it for n -convex functions with the help of an extended Montgomery identity. Moreover, the bounds have been suggested for identities associated with the generali…