Results 11 to 20 of about 302 (183)

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.
exaly   +2 more sources

Multiplicative tempered fractional Newton-type inequalities for twice *differentiable multiplicatively inverse cosine convex functions with applications

Journal of Inequalities and Applications
In this paper, an integral identity is developed using the framework of multiplicative tempered Riemann-Liouville fractional integrals. By utilizing the identity several Newton-type inequalities are established for twice *differentiable multiplicatively ...
Muhammad Samraiz, Muhammad Abu Bakar Ashraf, Saima Naheed, Miguel Vivas-Cortez   +3 more
doaj   +2 more sources

Hermite-Hadamard type inequalities for exponential type multiplicatively convex functions

Filomat, 2023
In this paper, we defined and studied the concept of exponential type multiplicatively convex functions and some of their algebraic properties. We derived Hermite-Hadamard inequalities for this class of functions. We also established new Hermite-Hadamard type inequalities for the product and quotient of exponential type multiplicatively ...
Serap Ozcan
exaly   +2 more sources

Hermite-Hadamard type inequalities for multiplicatively m-convex functions

Boletim Da Sociedade Paranaense De Matematica
Convex functions play an important role in finding the inequalities, those help in finding the solutions of different types of equations and equations involving functions. In this article we have considered investigated on the m-convex functions in a normed linear space. We have established some results of Hermite-Hadamard like inequality.
Binod Chandra Tripathy
exaly   +2 more sources

Injectiveness and Discontinuity of Multiplicative Convex Functions [PDF]

Mathematics, 2021
In the present work we study the set of multiplicative convex functions. In particular, we focus on the properties of injectiveness and discontinuity. We will show that a non constant multiplicative convex function is at most 2-injective, and construct multiplicative convex functions which are discontinuous at infinitely many points.
Pablo Jiménez-Rodríguez, María E. Martínez-Gómez, Gustavo A. Muñoz-Fernández, Juan B. Seoane-Sepúlveda   +3 more
openaire   +3 more sources

Wright type multiplicatively convex functions [PDF]

Mathematical Inequalities and Applications, 2015
exaly   +2 more sources

Multiple Integral Inequalities for Schur Convex Functions on Symmetric and Convex Bodies

Analysis in Theory and Applications, 2023
In this paper, by making use of Divergence theorem for multiple integrals, we establish some integral inequalities for Schur convex functions defined on bodies $B⊂\mathbb{R}^n$ that are symmetric, convex and have nonempty interiors. Examples for three dimensional balls are also provided.
openaire   +3 more sources

The Schur Multiplicative and Harmonic Convexities for Three Classes of Symmetric Functions [PDF]

Journal of Function Spaces, 2018
We investigate the Schur harmonic convexity for two classes of symmetric functions and the Schur multiplicative convexity for a class of symmetric functions by using a new method and generalizing previous result. As applications, we establish some inequalities by use of the theory of majorization, in particular, and we give some new geometric ...
Ming-bao Sun, Xin-ping Li, Ying-hui Zhang, Zai-yuan Zhang   +3 more
openaire   +2 more sources

Midpoint and trapezoid type inequalities for multiplicatively convex functions

, 2022
In this paper, we first prove two new identities for multiplicative differentiable functions. Based on this identity, we establish a midpoint and trapezoid type inequalities for multiplicatively convex functions. Applications to special means are also given.
Amel, Berhail, Badreddine, Meftah
openaire   +2 more sources

Multiplicity theorems involving functions with non-convex range

Studia Universitatis Babes-Bolyai Matematica, 2023
"Here is a sample of the results proved in this paper: Let $f:{\bf R}\to {\bf R}$ be a continuous function, let $\rho>0$ and let $\omega:[0,\rho[\to [0,+\infty[$ be a continuous increasing function such that $$\lim\limits_{\xi\to \rho^-}\ds\int_0^{\xi}\omega(x)dx=+\infty.$$ Consider $C^0([0,1])\times C^0([0,1])$ endowed with the norm $$\|(\alpha ...
openaire   +3 more sources