Results 31 to 40 of about 185 (164)

A note on an inequality for the gamma function

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 1, Issue 2, Page 227-233, 1978., 1977
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
wiley   +1 more source

Some new inequalities of Hermite-Hadamard type for s-convex functions with applications

open access: yesOpen Mathematics, 2017
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
doaj   +1 more source

Refinements of quantum Hermite-Hadamard-type inequalities

open access: yesOpen Mathematics, 2021
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
doaj   +1 more source

Ostrowski type fractional integral operators for generalized (r; g, s, m, ϕ)-preinvex functions [PDF]

open access: yes, 2018
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
core   +2 more sources

Numerical Investigation of Fractional Third-Order Differential Equation Using Quartic B-Spline Functions

open access: yesAdvances in Mathematical Physics
MSC2020 Classification: 39A12, 39B62, 33B10, 26A48, 26A51.
Syeda Alishba Batool   +4 more
doaj   +1 more source

Fractional Hermite–Hadamard Inequalities in Non‐Newtonian Calculus Focusing on h‐GG‐Convex Functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
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
wiley   +1 more source

Some Completely Monotonic Properties for the (p, g)-Gamma Function [PDF]

open access: yes, 2012
MSC 2010: 33B15, 26A51 ...
Merovci, Faton, Krasniqi, Valmir
core  

A study on Hermite-Hadamard type inequalities for s-convex functions via conformable fractional integrals [PDF]

open access: yes, 2017
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
core   +2 more sources

Weighted Inequalities of Milne‐Type and Applications: Bridging Classical and Fractional Integrals

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
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
wiley   +1 more source

Generalization of Hermite-Hadamard Type Inequality for Functions whose Derivatives in Absolute Value are Convex and (α, m)-Convex [PDF]

open access: yes, 2014
In this article, some new Hadamard-like, which estimate the difference between Mathematics Subject Classification: 26A51 ...
Jaekeun Park
core  

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