Results 1 to 10 of about 157 (74)
A new refinement of Jensen’s inequality with applications in information theory
Open Mathematics, 2020 In this paper, we present a new refinement of Jensen’s inequality with applications in information theory. The refinement of Jensen’s inequality is obtained based on the general functional in the work of Popescu et al.
Xiao Lei, Lu Guoxiang
doaj +1 more source
About the B-concavity of functions with many variables
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 The paper deals with the study of the property of B-concavity and BB concavity in the bi-dimesional case and with the relation between these properties and the Bernstein operators defined on a simplex.
Meleşteu Alexandra Diana
doaj +1 more source
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
doaj +1 more source
Delta-Convexity With Given Weights
Annales Mathematicae Silesianae, 2020 Some differentiability results from the paper of D.Ş. Marinescu & M. Monea [7] on delta-convex mappings, obtained for real functions, are extended for mappings with values in a normed linear space.
Ger Roman
doaj +1 more source
Open Mathematics, 2021 In this study, we first obtain a new identity for generalized fractional integrals which contains some parameters. Then by this equality, we establish some new parameterized inequalities for co-ordinated convex functions involving generalized fractional ...
Kalsoom Humaira +3 more
doaj +1 more source
Sandwich Type Results For m-Convex Real Functions
Annales Mathematicae Silesianae, 2021 We establish necessary and sufficient conditions allowing separation of pair of real functions by an m-convex and by an m-affine function. Some examples and a geometric interpretation of m-convexity of a function is exhibited, as well as a Jensen’s ...
Lara Teodoro, Rosales Edgar
doaj +1 more source
New fractional integral inequalities via Euler's beta function
Open Mathematics, 2023 In this article, we present new fractional integral inequalities via Euler’s beta function in terms of ss-convex mappings. We develop some new generalizations of fractional trapezoid- and midpoint-type inequalities using the class of differentiable ss ...
Almutairi Ohud Bulayhan
doaj +1 more source
Schur-power convexity of integral mean for convex functions on the coordinates
Open Mathematics, 2023 In this article, we investigate the concepts of monotonicity, Schur-geometric convexity, Schur-harmonic convexity, and Schur-power convexity for the lower and upper limits of the integral mean, focusing on convex functions on coordinate axes. Furthermore,
Shi Huannan, Zhang Jing
doaj +1 more source
On a Separation Theorem for Delta-Convex Functions
Annales Mathematicae Silesianae, 2020 In the present paper we establish necessary and sufficient conditions under which two functions can be separated by a delta-convex function. This separation will be understood as a separation with respect to the partial order generated by the Lorentz ...
Olbryś Andrzej
doaj +1 more source
On weighted quasi-arithmetic means which are convex
Mathematical Inequalities & Applications, 2019 We study convexity in the class of weighted quasi-arithmetic means. It turns out that their convexity depends only on the generator, neither on weights, nor on the number of variables.
J. Chudziak +3 more
semanticscholar +1 more source