Results 171 to 180 of about 3,067,533 (204)
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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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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Generalizing Multiplicative Convex Functions
Journal of Convex Analysis, 2021This work is a natural continuation of the ongoing research started by the authors in a previous article [Describing multiplicative convex functions, J. Convex Analysis 27 (2020) 935–942] with respect to multiplicative convex functions, their continuity properties and their generalizations. Some results regarding algebraic genericity are also presented
Jiménez-Rodríguez, Pablo +3 more
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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, Abdelghani Lakhdari
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Describing Multiplicative Convex Functions
Journal of Convex Analysis, 2020Multiplicative convex functions have been mimicking the behavior of convex functions, but focusing on geometric average, instead of arithmetic average. In the present note we propose a different definition which focuses on the arithmetic operations taking part and we study the resulting functions. A characterization is also provided.
Jiménez-Rodríguez, Pablo +3 more
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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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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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Ukrainian Mathematical Journal, 2009
For x = (x 1, x 2, …, x n ) ∈ (0, 1 ] n and r ∈ { 1, 2, … , n}, a symmetric function F n (x, r) is defined by the relation $$ {F_n ...
Wei-Feng Xia, Yu-Ming Chu
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For x = (x 1, x 2, …, x n ) ∈ (0, 1 ] n and r ∈ { 1, 2, … , n}, a symmetric function F n (x, r) is defined by the relation $$ {F_n ...
Wei-Feng Xia, Yu-Ming Chu
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