Results 131 to 140 of about 46,401 (165)

Some inequalities for operator (φ,h)-convex functions

Rocky Mountain Journal of Mathematics, 2021
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Marghzar, Sima Hashemi, Rahpeyma, Omid Pourbahri, Bagha, Davood Ebrahimi   +2 more
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Continuity of h-convex functions

Asian-European Journal of Mathematics, 2019
In this paper, a condition which implies the continuity of an [Formula: see text]-convex function is investigated. In fact, any [Formula: see text]-convex function bounded from above is continuous if the function [Formula: see text] satisfies a certain condition which is called pre-continuity condition.
M. Rostamian Delavar, S. S. Dragomir
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Jensen–Mercer Type Inequalities for Operator h-Convex Functions

Bulletin of the Iranian Mathematical Society, 2021
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Abbasi, Mostafa, Morassaei, Ali, Mirzapour, Farzollah   +2 more
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COMPLEMENTARY RESULTS FOR h -CONVEX FUNCTIONS WITH APPLICATIONS

2023
In this paper, we present several new properties of h-convex functions in a way that complements those known properties for convex functions. The obtained results include, but are not limited to, Mercer-type inequalities, gradient inequalities, Jensen-type inequalities, Mean-like bounds, Hermite-Hadamard inequalities, external behavior, and super ...
Sababheh, Mohammad, Minculete, Nicuşor, Moradi, Hamid Reza, Furuichi, Shigeru   +3 more
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Milne-Type Inequalities for $h$-Convex Functions

Real Analysis Exchange
In this paper the authors utilized the concept of \(h\)-convex functions and conformable fractional integrals operators to derived and proved the Milne-type inequalities for \(h\)-convex functions. Several consequences of their results inform of Corollaries and Remarks were given and the connection with known results of this type in the literature were
Benaissa, Bouharket, Sarikaya, Mehmet Zeki   +1 more
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LIPSCHITZ CONTINUITY FOR H-CONVEX FUNCTIONS IN CARNOT GROUPS

Communications in Contemporary Mathematics, 2006
For a Carnot group G of step two, we prove that H-convex functions are locally bounded from above. Therefore, H-convex functions on a Carnot group G of step two are locally Lipschitz continuous by using recent results by Magnani.
Sun, Mingbao, Yang, Xiaoping
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Some integral inequalities for harmonic h-convex functions involving hypergeometric functions

Applied Mathematics and Computation, 2015
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Mihai, Marcela V., Noor, Muhammad Aslam, Noor, Khalida Inayat, Awan, Muhammad Uzair   +3 more
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Integral mean value bounds for h-convex functions

2008
Let I and J be intervals in {; ; \bf R}; ; , ( 0, 1 ) \subseteq J and let h: J \rightarrow {; ; \bf R}; ; be a non-negative function, h\not\equiv 0. We say that f:I\rightarrow {; ; \bf R}; ; is an h-convex function if f is non-negative and for all x, y\in I, \alpha \in (0, 1), we have f(\alpha x +(1-\alpha)y)\leq h(\alpha)f(x)+h(1-\alpha)f(y).
Bombardelli, Mea, Varošanec, Sanja
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On Hadamard’s inequality for h-convex function on a disk

Applied Mathematics and Computation, 2014
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Lipschitz continuity, Aleksandrov theorem and characterizations for H-convex functions

Mathematische Annalen, 2005
The author proves that in stratified groups \(H\)-convex functions locally bounded from above are locally Lipschitz; moreover, he proves that the class of \(v\)-convex functions corresponds to the class of \(H\)-convex functions that are upper semicontinuous, and then they are also Lipschitz. In the class of step 2 groups a more precise result is given;
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