Results 181 to 190 of about 373 (214)
Filomat, 2023 In this paper, we present a fractional integral identity, and then based upon it we establish the Maclaurin?s inequalities for multiplicatively convex functions and multiplicatively P-functions via multiplicative Riemann-Liouville fractional integrals.
Ting-Song Du
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Hermite-Hadamard type inequalities for multiplicatively p-convex functions
Journal of Inequalities and Applications, 2023 AbstractIn this paper, we introduced the concept of multiplicatively p-convex functions and established Hermite-Hadamard type integral inequalities in the setting of multiplicative calculus for this newly created class of functions. We also gave integral inequalities of Hermite-Hadamard type for product and quotient of multiplicatively p-convex ...
Serap Ozcan
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Fractional Maclaurin-Type Inequalities for Multiplicatively Convex Functions
Fractal and Fractional, 2023 This paper’s major goal is to prove some symmetrical Maclaurin-type integral inequalities inside the framework of multiplicative calculus. In order to accomplish this and after giving some basic tools, we have established a new integral identity. Based on this identity, some symmetrical Maclaurin-type inequalities have been constructed for functions ...
Abdelkader Moumen, Mohamed Bouyé
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Dual Simpson type inequalities for multiplicatively convex functions
Filomat, 2023 In this paper we propose a new identity for multiplicative differentiable functions, based on this identity we establish a dual Simpson type inequality for multiplicatively convex functions. Some applications of the obtained results are also given.
Badreddine Meftah
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A class of symmetric functions for multiplicatively convex function [PDF]
Mathematical Inequalities and Applications, 2007 A new symmetric function, which generalizes Hamy symmetric function, is defined. Its properties, including Schur-geometric convexity, are investigated. Some analytic inequalities are also established. Mathematics subject classification (2000): 26A51, 26D15, 0E05.
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Wright type multiplicatively convex functions [PDF]
Mathematical Inequalities and Applications, 2015 exaly +2 more sources
Multiplicatively Trigonometric Convex Functions for Hermite–Hadamard-Type Inequalities
SymmetryA novel category of convex functions, termed multiplicatively trigonometric convex functions, are introduced in this paper. We explore their algebraic characteristics and establish connections between such functions and other forms of convex functions. We even show that these functions are symmetric with respect to their components.
Serap Ozcan +2 more
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Global minimization of a generalized convex multiplicative function
Journal of Global Optimization, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hiroshi Konno +2 more
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Convex Kernel Underestimation of Functions with Multiple Local Minima
Computational Optimization and Applications, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
O. L. Mangasarian +2 more
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Maclaurin type inequalities for multiplicatively convex functions
Proceedings of the American Mathematical Society, 2023In this paper we establish a new identity, and then based on this identity we derive the Maclaurin’s inequality for multiplicatively convex functions.
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