Schur-harmonic convexity related to co-ordinated harmonically convex functions in plane [PDF]
Journal of Inequalities and Applications, 2019 In 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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Mathematics, 2022 In both pure and applied mathematics, convex functions are used in many different problems. They are crucial to investigate both linear and non-linear programming issues. Since a convex function is one whose epigraph is a convex set, the theory of convex
Muhammad Aamir Ali +4 more
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On Hermite-Hadamard-type inequalities for systems of partial differential inequalities in the plane
Open Mathematics, 2023 We establish necessary conditions for the existence of solutions to various systems of partial differential inequalities in the plane. The obtained conditions provide new Hermite-Hadamard-type inequalities for differentiable functions in the plane.
Jleli Mohamed, Samet Bessem
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Fractional Hermite-Hadamard-type inequalities for interval-valued co-ordinated convex functions
Open Mathematics, 2021 In this work, we introduce the notions about the Riemann-Liouville fractional integrals for interval-valued functions on co-ordinates. We also establish Hermite-Hadamard and some related inequalities for co-ordinated convex interval-valued functions by ...
Budak Huseyin +4 more
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On the Hermite–Hadamard inequalities for interval-valued coordinated convex functions
Advances in Difference Equations, 2020 In this work, we introduce the notion of interval-valued coordinated convexity and demonstrate Hermite–Hadamard type inequalities for interval-valued convex functions on the co-ordinates in a rectangle from the plane.
Dafang Zhao +3 more
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INTEGRAL INEQUALITIES OF HERMITE – HADAMARD TYPE FOR ((α, m), log)-CONVEX FUNCTIONS ON CO–ORDINATES
Проблемы анализа, 2015 The convexity of functions is a basic concept in mathematics and it has been generalized in various directions. Establishing integral inequalities of Hermite – Hadamard type for various convex functions is one of main topics in the theory of convex ...
Bo-Yan Xi, Feng Qi
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Some New Inequalities of Hermite-Hadamard Type for (α1,m1)-(α2,m2)-Convex Functions on Coordinates
Journal of Function Spaces, 2014 The author introduces a new concept “(α1,m1)-(α2,m2)-convex functions on coordinates” and establishes some new inequalities of Hermite-Hadamard type for (α1,m1)-(α2,m2)-convex functions of two variables on co-ordinates.
Ling Chun
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Inequalities for Co-ordinated m−Convex Functions via Riemann-Liouville Fractional Integrals
International Journal of Analysis and Applications, 2014 In this paper, we prove some new inequalities of Hadamard-type for m−convex functions on the co-ordinates via Riemann-Liouville fractional integrals.
Çetin Yildiz +2 more
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Extension of Fejér's inequality to the class of sub-biharmonic functions
Open MathematicsFejér’s integral inequality is a weighted version of the Hermite-Hadamard inequality that holds for the class of convex functions. To derive his inequality, Fejér [Über die Fourierreihen, II, Math. Naturwiss, Anz. Ungar. Akad. Wiss.
Jleli Mohamed
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A Schwarz Lemma for the Pentablock. [PDF]
J Geom Anal, 2023 Alshehri NM, Lykova ZA.
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