Results 41 to 50 of about 5,300 (236)
Hermite-Hadamard-Fejér Inequalities for Preinvex Functions on Fractal Sets [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, for generalised preinvex functions, new estimates of the Fej\'{e}r-Hermite-Hadamard inequality on fractional sets $\mathbb{R}^{\rho }$ are given in this study.
Sikander Mehmood, Fiza Zafar
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The hermite-hadamard type inequalities for operator s-convex functions [PDF]
, 2014 In this paper we introduce operator s-convex func- tions and establish some Hermite-Hadamard type inequalities in which some operator s-convex functions of positive operators in Hilbert spaces are involved.Comment: 11 ...
Ghazanfari, Amir Ghasem
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Hermite-Hadamard type inequalities for operator geometrically convex functions [PDF]
, 2015 In this paper, we introduce the concept of operator geometrically convex functions for positive linear operators and prove some Hermite-Hadamard type inequalities for these functions. As applications, we obtain trace inequalities for operators which give
Darvish, Vahid +3 more
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Hermite-Hadamard type inequalities for subadditive functions
AIMS Mathematics, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Journal of Applied Mathematics, 2014 We obtain some Hermite-Hadamard type inequalities for s-convex functions on the coordinates via Riemann-Liouville integrals. Some integral inequalities with the right-hand side of the fractional Hermite-Hadamard type inequality are also established.
Feixiang Chen
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A general multidimensional Hermite–Hadamard type inequality
Journal of Mathematical Analysis and Applications, 2009 The classical Hermite-Hadamard inequality states that for a real convex function \(f\) on an interval \([a,b]\), \[ f\biggl({a+b\over2}\biggr)\leq{1\over b-a}\int_a^b f(x)dx\leq{f(a)+f(b)\over2}. \] This may be expressed in probabilistic terms in the form \[ f(E\xi)\leq Ef(\xi)\leq Ef(\xi^*), f\in C_{cx},\eqno(1) \] where \(E\) denotes expected value, \
de la Cal, Jesús +2 more
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Filomat, 2019 Since the so-called Hermite-Hadamard type inequalities for convex functions were presented, their generalizations, refinements, and variants involving various integral operators have been extensively investigated. Here we aim to establish several Hermite-Hadamard inequalities and Hermite- Hadamard-Fejer type inequalities for symmetrized ...
Set, Erhan +2 more
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Some Hermite-Hadamard type inequalities in the class of hyperbolic p-convex functions
, 2019 In this paper, obtained some new class of Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities via fractional integrals for the p-hyperbolic convex functions.
Dragomir, Silvestru Sever +1 more
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Hermite–Hadamard type inequalities via weighted integral operators
Proyecciones (Antofagasta), 2023 In this paper, we consider general convex functions of various type. We establish some new integral inequalities of Hermite--Hadamard type for $(h,s,m)$-convex and $(h,m)$-convex functions, using generalized integrals. We also investigate differentiable functions with general convex derivative.
Kórus, Péter +2 more
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Journal of Inequalities and Applications, 2019 In the paper, the authors establish some generalized fractional integral inequalities of the Hermite–Hadamard type for (α,m) $(\alpha,m)$-convex functions, show that one can find some Riemann–Liouville fractional integral inequalities and classical ...
Feng Qi +3 more
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