Results 21 to 30 of about 2,343 (229)
AIMS Mathematics, 2021 In this paper, we establish a new integral identity involving local fractional integral on Yang's fractal sets. Using this integral identity, some new generalized Hermite-Hadamard type inequalities whose function is monotonically increasing and ...
Wenbing Sun, Rui Xu
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Hermite-Hadamard inequalities for exponential type harmonically $ ( \alpha, s)_{h}$-convex functions [PDF]
Journal of Mahani Mathematical ResearchIn this paper, the authors study and introduce some new integral forms of Hermite-Hadamard inequalities in the form of harmonically convex functions known as exponential type harmonically $ (\alpha, s)_{h}$-convex function.
Kemi Apanpa +2 more
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Some New Harmonically Convex Function Type Generalized Fractional Integral Inequalities
Fractal and Fractional, 2021 In this article, we established a new version of generalized fractional Hadamard and Fejér–Hadamard type integral inequalities. A fractional integral operator (FIO) with a non-singular function (multi-index Bessel function) as its kernel and monotone ...
Rana Safdar Ali +6 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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Schur-harmonic convexity related to co-ordinated harmonically convex functions in plane [PDF]
Journal of Inequalities and Applications, 2019 AbstractIn this paper, we investigate Schur-harmonic convexity of some functions which are obtained from the co-ordinated harmonically convex functions on a square in a plane.
N. Safaei, A. Barani
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Generalization of Some Integral Inequalities for Arithmetic Harmonically Convex Functions
Cumhuriyet Science Journal, 2022 In this study, by using an integral identity, Hölder integral inequality and modulus properties we obtain some new general inequalities of the Hermite-Hadamard and Bullen type for functions whose derivatives in absolute value at certain power are ...
Huriye Kadakal
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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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Axioms, 2022 Integral inequalities have accumulated a comprehensive and prolific field of research within mathematical interpretations. In recent times, strategies of fractional calculus have become the subject of intensive research in historical and contemporary ...
Muhammad Tariq +4 more
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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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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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