Results 81 to 90 of about 7,690 (255)
Hermite-Hadamard inequality for functions whose derivatives absolute values are preinvex
, 2012 In this article, we extend some estimates of the right-hand side of a Hermite-Hadamard-type inequality for preinvex functions. Then, a generalization to functions of several variables on invex subsets of is introduced.
A. Barani, A. Ghazanfari, S. Dragomir
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A refinement of the left-hand side of Hermite-Hadamard inequality for simplices [PDF]
, 2015 In this paper, we establish a new refinement of the left-hand side of Hermite-Hadamard inequality for convex functions of several variables defined on simplices.
M. Nowicka, A. Witkowski
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Refined and Generalized Versions of Hölder’s Inequality via Schur Convexity of Functions
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this paper, we introduce a class of functions associated with Hölder’s inequality and show the Schur convexities of these functions. With the help of Schur convexity, several improved versions of Hölder’s inequality are established. The results obtained here are the generalizations and refinements of the existing results for Hölder’s inequality.
Shanhe Wu, Raúl E. Curto
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A note on the Hermite-Hadamard inequality [PDF]
Journal of Mathematical Inequalities, 2010 In this note we give a new generalization of the well-known Hermite-Hadamard inequality Mathematics subject classification (2010): 52A40, 52A41.
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Some Hermite-Hadamard and midpoint type inequalities in symmetric quantum calculus
AIMS MathematicsThe Hermite-Hadamard inequalities are common research topics explored in different dimensions. For any interval $ [\mathrm{b_{0}}, \mathrm{b_{1}}]\subset\Re $, we construct the idea of the Hermite-Hadamard inequality, its different kinds, and its ...
Saad Ihsan Butt +3 more
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Generalization and Refinements of Hermite-Hadamard's Inequality
Rocky Mountain Journal of Mathematics, 2005 In this article, with the help of concept of the harmonic sequence of polynomials, the well known Hermite-Hadamard’s inequality for convex functions is generalied to the cases with bounded derivatives of n-th order, including the so-called n-convex functions, from which Hermite-Hadamard’s inequality is extended and refined.
Qi, Feng, Wei, Zong-Li, Yang, Qiao
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Inequalities of Hermite-Hadamard type for HG-convex functions [PDF]
Issues of Analysis, 2017 Abstract Some inequalities of Hermite-Hadamard type for GA-convex functions defined on positive intervals are given.
Sever S Dragomir, Sever S Dragomir
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Journal of Mathematics, Volume 2025, Issue 1, 2025.In this note, we introduce the concept of ℏ‐Godunova–Levin interval‐valued preinvex functions. As a result of these novel notions, we have developed several variants of Hermite–Hadamard and Fejér‐type inequalities under inclusion order relations. Furthermore, we demonstrate through suitable substitutions that this type of convexity unifies a variety of
Zareen A. Khan +4 more
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Abstract Convexity and Hermite-Hadamard Type Inequalities [PDF]
Journal of Inequalities and Applications, 2009 The deriving Hermite-Hadamard type inequalities for certain classes of abstract convex functions are considered totally, the inequalities derived for some of these classes before are summarized, new inequalities for others are obtained, and for one class of these functions the results on are generalized to . By considering a concrete area in , the
Gabil Adilov, Serap Kemali
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Fractal and Fractional, 2021 In this paper, we establish a new version of Hermite-Hadamard-Fejér type inequality for harmonically convex functions in the form of weighted fractional integral. Secondly, an integral identity and some weighted midpoint fractional Hermite-Hadamard-Fejér
Humaira Kalsoom +3 more
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