Results 11 to 20 of about 2,350 (236)
Fejér type inequalities for harmonically convex functions
AIMS Mathematics, 2022 In this study, some mappings related to the Fejér-type inequalities for harmonically convex functions are defined over [0,1]. Some Fejér-type inequalities for harmonically convex functions are proved using these mappings. Properties of these mappings are
Muhammad Amer Latif
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Hermite–Hadamard–Mercer-Type Inequalities for Harmonically Convex Mappings
Mathematics, 2021 In this paper, we prove Hermite–Hadamard–Mercer inequalities, which is a new version of the Hermite–Hadamard inequalities for harmonically convex functions.
Xuexiao You +4 more
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New Hermite–Hadamard type inequalities for n-polynomial harmonically convex functions
Journal of Inequalities and Applications, 2020 In the article, we introduce a class of n-polynomial harmonically convex functions, establish their several new Hermite–Hadamard type inequalities which are the generalizations and variants of the previously known results for harmonically convex ...
Muhammad Uzair Awan +4 more
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Convex functions and harmonic maps [PDF]
Proceedings of the American Mathematical Society, 1972 A subset D of a riemannian manifold Y is said to be convex supporting if every compact subset of D has a Y-open neighborhood which supports a strictly convex function. The image of a harmonic map f from a compact manifold X to Y cannot be contained in any convex supporting subset of Y unless f is constant.
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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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Harmonic mapping problem and affine capacity [PDF]
, 2010 The Harmonic Mapping Problem asks when there exists a harmonic homeomorphism between two given domains. It arises in the theory of minimal surfaces and in calculus of variations, specifically in hyperelasticity theory.
Iwaniec, Tadeusz +2 more
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Hermite–Hadamard–Fejér type inequalities for p-convex functions
Arab Journal of Mathematical Sciences, 2017 In this paper, firstly, Hermite–Hadamard–Fejér type inequalities for p-convex functions are built. Secondly, an integral identity and some Hermite–Hadamard–Fejér type integral inequalities for p-convex functions are obtained.
Mehmet Kunt, İmdat İşcan
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Convergence property of the Iri-Imai algorithm for some smooth convex programming problems [PDF]
, 1994 In this paper, the Iri-Imai algorithm for solving linear and convex quadratic programming is extended to solve some other smooth convex programming problems.
Zhang, J. (Shuzhong)
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Generalized Hermite-Hadamard type inequalities for differentiable harmonically-convex and harmonically quasi-convex functions [PDF]
Journal of Mathematical Inequalities, 2021 Summary: Some new Hermite-Hadamard type inequalities for differentiable harmonically-convex and harmonically quasi-convex functions have been discussed, generalizing some existing results in literature. For validity of the results some numerically examples are given.
Latif, Muhammad Amer +2 more
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Some Integral Inequalities for Harmonically (α,s)-Convex Functions
Journal of Function Spaces, 2019 In the paper, the author introduces a new class of harmonically convex functions, which is called harmonically α,s-convex functions and establishes some new integral inequalities of the Hermite-Hadamard type for harmonically α,s-convex functions.
Serap Özcan
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