A note on an inequality for the gamma function
Some inequalities for the Wallis functions are proved. The results of this paper are consequences of some characterization of convex functions. A generalization of a result of Boyd (1) and an extentlon of an inequality of Gantschi (3) are obtained.
Christopher Olutunde Imoru
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Some new inequalities of Hermite-Hadamard type for s-convex functions with applications
In this paper, we present several new and generalized Hermite-Hadamard type inequalities for s-convex as well as s-concave functions via classical and Riemann-Liouville fractional integrals.
Khan Muhammad Adil +3 more
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Refinements of quantum Hermite-Hadamard-type inequalities
In this paper, we first obtain two new quantum Hermite-Hadamard-type inequalities for newly defined quantum integral. Then we establish several refinements of quantum Hermite-Hadamard inequalities.
Budak Hüseyin +3 more
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Ostrowski type fractional integral operators for generalized (r; g, s, m, ϕ)-preinvex functions [PDF]
In the present paper, the notion of generalized (r; g, s, m, ϕ)-preinvex function is applied for establish some new generalizations of Ostrowski type in- equalities via fractional integral operators.
LIKO, Rozana, KASHURI, Artion
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MSC2020 Classification: 39A12, 39B62, 33B10, 26A48, 26A51.
Syeda Alishba Batool +4 more
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Fractional Hermite–Hadamard Inequalities in Non‐Newtonian Calculus Focusing on h‐GG‐Convex Functions
The aim of this paper is to develop new Hermite–Hadamard–type inequalities within the framework of fractional GG‐multiplicative calculus. By employing the GG‐multiplicative Riemann–Liouville fractional integral operators, we introduce a novel class of generalized convex functions, called h‐GG‐convex functions, which unifies and extends several existing
Bouharket Benaissa +4 more
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Some Completely Monotonic Properties for the (p, g)-Gamma Function [PDF]
MSC 2010: 33B15, 26A51 ...
Merovci, Faton, Krasniqi, Valmir
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A study on Hermite-Hadamard type inequalities for s-convex functions via conformable fractional integrals [PDF]
In the present note, firstly we established a generalization of Hermite Hadamard’s inequality for s-convex functions via conformable fractional integrals which generalized Riemann-Liouville fractional integrals. Secondly, we proved new identity involving
SET, Erhan, GÖZPINAR, Abdurrahman
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Weighted Inequalities of Milne‐Type and Applications: Bridging Classical and Fractional Integrals
In this study, weighted Milne‐type inequalities are derived for classical integrals, and by selecting special weight functions, several Milne‐type inequalities are presented for well‐known fractional integrals, such as Riemann–Liouville fractional integrals, conformable fractional integrals, and tempered fractional integrals.
Hüseyin Budak, Marko Kostic
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Generalization of Hermite-Hadamard Type Inequality for Functions whose Derivatives in Absolute Value are Convex and (α, m)-Convex [PDF]
In this article, some new Hadamard-like, which estimate the difference between Mathematics Subject Classification: 26A51 ...
Jaekeun Park
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