Convex functions: some notation and results
Monotonicity Results for Arithmetic Means of Concave and Convex Functions
... MONOTONICITY RESULTS FOR ARITHMETIC MEANS OF CONCAVE AND CONVEX FUNCTIONS HUAN-NAN SHI, TIE-QUAN XU, AND FENG QI ...approaches, some known results on monotonic- ity of the arithmetic ...
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Bernstein's polynomials for convex functions and related results
... In this paper we establish several polynomials similar to Bernstein’s polynomials and several refine- ments of Hermite-Hadamard inequality for convex functions.. Keywords: Hermite-Hadama[r] ...
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Jensen's inequality for HH-convex functions and related results
... This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the orig[r] ...
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Some properties of harmonic convex and harmonic quasi-convex functions
... of convex function which is known as harmonically convex ...harmonically convex functions which implies that harmonically quasi-convex ...functions. Results proved in this ...
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On some inequalities for s convex functions and applications
... Abstract Some new results related to the left-hand side of the Hermite-Hadamard type inequalities for the class of functions whose second derivatives at certain powers are s-convex ...
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On some inequalities for relative semi convex functions
... of convex functions that are called relative semi-convex ...functions. Some Hermite-Hadamard inequalities for the relative semi-convex function and its variant forms are ...
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Remarks on some inequalities for s convex functions and applications
... for functions whose second derivatives in absolute value at certain powers are s-convex in the second sense, which not only provides generalization of Theorem and Theorem but also gives some ...
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Quasilinearity of some functionals associated with monotonic convex functions
... In the following, in order to provide a natural background that will enable us to construct composite functionals out of simple ones and to investigate their quasilinearity properties, we recall a number of concepts and ...
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Some Properties of Generalized Strongly Harmonic Convex Functions
... harmonic convex functions with respect to an arbitrary trifunction F (·,·,·) : K ×K ×[0, 1] → R , which is called generalized strongly harmonic convex ...study some basic properties of ...
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Some Quantum Estimates of Hermite-Hadamard Inequalities for Convex Functions
... FOR CONVEX FUNCTIONS WENJUN LIU AND HEFENG ZHUANG ...establish some quantum estimates of Hermite-Hadamard type inequalities for convex ...These results generalize and improve ...
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Convex combinations, barycenters and convex functions
... Abstract The article first shows one alternative definition of convexity in the discrete case. The correlation between barycenters, Jensen’s inequality and convexity is studied in the integral case. The Hermite-Hadamard ...
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Integral inequalities for some convex functions via generalized fractional integrals
... 2, some Hermite–Hadamard type inequalities for s-convex functions in a gener- alized fractional form were ...obtained some new results related to s-convex functions, ...
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On Some Weighted Integral Inequalities for Convex Functions Related to Fejér's Result
... provide some new Fejér-type inequalities related to the map- pings G; Q; H g ; P g ; I; N; L g ; S g de…ned ...known results ob- tained in relation with the Hermite-Hadamard inequality and therefore are ...
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Some Generalizations of Different Type of Integral Inequalities for MT-convex Functions
... recent results concerning Hermite-Hadamard, Ostrowski and Simpson type inequalities through various classes of convex functions, see [2, 4, 6, 10, 11, 14, 15, 18, 24, 26–28, 32] and the refer- ences ...
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Some Inequalities for f-Divergence Measures Generated by 2n-Convex Functions
... Similar results may be considered for other log-convex functions for which the log-derivatives are function of specific interest and generating δ−divergences which can be easier to ...
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Generalization of Some Inequalities for Differentiable Co-ordinated Convex Functions With Applications
... Co-ordinated Convex Functions With Applications ...for functions defined on a rectangle from the plane is ...analysis, some new weighted integral inequalities for the classes of co-ordinated ...
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A note on convex functions
... a convex function. We also present some results for convex functions, strictly convex functions, and quasi-convex ...phrases. Convex functions, lower ...
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Some Characterizations of Harmonic Convex Functions
... vex functions and its variant forms have been extended and generalized using innovative techniques to study complicated ...differentiable convex functions are characterized by variational ...
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Some inequalities for (h,m) convex functions
... find some inequalities of Jensen type and Popoviciu type for (h, m)-convex ...establish some inequalities of Jensen type and Popoviciu type for (h, m)-convex ...
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Some Companions of Fejér's Inequality for Convex Functions
... In this paper, we establish some companions of Fej´ er’s inequality for convex functions which generalize the inequalities of Hermite-Hadamard type from [2] and [7]1. Hermite-Hadamard in[r] ...
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