Results 221 to 230 of about 6,381 (249)
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Multiplicative Fractional Hermite–Hadamard-Type Inequalities in G-Calculus

Mathematics
This paper extends Hermite–Hadamard-type inequalities to the fractional multiplicative framework of G-calculus. Using multiplicative Riemann–Liouville fractional integrals, we introduce a notion of multiplicative convexity and establish fractional ...
Abdelghani Lakhdari, Wedad Saleh
semanticscholar   +1 more source

Exploring Hermite–Hadamard-type Inequalities via ψ-conformable Fractional Integral Operators

Journal of Inequalities and Mathematical Analysis
New Hermite-Hadamard inequalities for convex functions utilizing ψ-conformable fractional integral operators have been established. These represent extensions of many significant fractional operators, such as the Riemann-Liouville and Hadamard operators.
N. Azzouz, B. Benaissa
semanticscholar   +1 more source

Hermite–Hadamard and Ostrowski Type Inequalities on Hemispheres

Mediterranean Journal of Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On symmetrized stochastic convexity and the inequalities of Hermite–Hadamard type

Aequationes mathematicae, 2021
The authors introduce the concept of symmetrized convex stochastic processes and use it to study Hermite-Hadamard type inequalities. In addition, characterizations of symmetrized convex stochastic processes are given, proved and discussed.
Wasim Ul Haq, Dawid Kotrys
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Exponential trigonometric convex functions and Hermite-Hadamard type inequalities

, 2021
In this manuscript, we introduce and study the concept of exponential trigonometric convex functions and their some algebraic properties. We obtain Hermite-Hadamard type inequalities for the newly introduced class of functions.
M. Kadakal   +3 more
semanticscholar   +1 more source

Hermite–Hadamard’s type inequalities for operator convex functions

Applied Mathematics and Computation, 2011
Motivated by their previous work [\textit{E. Kikianty} and \textit{S. S. Dragomir}, Math. Inequal. Appl. 13, No. 1, 1--32 (2010; Zbl 1183.26025)], the authors establish an operator version of Hermite-Hadamard type inequalities for operator convex functions of selfadjoint operators in Hilbert spaces.
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A new Approach of Generalized Fractional Integrals in Multiplicative Calculus and Related Hermite–Hadamard-Type Inequalities with Applications

Mathematica Slovaca
The primary goal of this paper is to define Katugampola fractional integrals in multiplicative calculus. A novel method for generalizing the multiplicative fractional integrals is the Katugampola fractional integrals in multiplicative calculus.
Muhammad Aamir Ali   +3 more
semanticscholar   +1 more source

Hermite–Hadamard-type inequalities for multiplicative harmonic s -convex functions

Ukrains'kyi Matematychnyi Zhurnal
UDC 517.5 We study the concept of multiplicative harmonic s -convex functions and establish Hermite–Hadamard integral inequalities for this class of functions.
Serap Özcan   +2 more
semanticscholar   +1 more source

On approximate Hermite-Hadamard type inequalities

2017
The paper begins with a small survey on Hermite-Hadamard type inequalities, followed by a Korovkin type result that is later employed for proving the main statement that consists in providing sufficient conditions under which an approximate lower Hermite-Hadamard type inequality implies an approximate Jensen convexity property.
Házy, Attila, Makó, Judit
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