Results 11 to 20 of about 649 (117)

Schur-power convexity of integral mean for convex functions on the coordinates

open access: yesOpen 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

A minimax problem for sums of translates on the torus

open access: yesTransactions of the London Mathematical Society, Volume 5, Issue 1, Page 1-46, December 2018., 2018
Abstract We extend some equilibrium‐type results first conjectured by Ambrus, Ball and Erdélyi, and then proved recenly by Hardin, Kendall and Saff. We work on the torus T≃[0,2π), but the motivation comes from an analogous setup on the unit interval, investigated earlier by Fenton.
Bálint Farkas   +2 more
wiley   +1 more source

Sandwich Type Results For m-Convex Real Functions

open access: yesAnnales 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

Inequalities via convex functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 3, Page 543-546, 1999., 1999
A general inequality is proved using the definition of convex functions. Many major inequalities are deduced as applications.
I. A. Abou-Tair, W. T. Sulaiman
wiley   +1 more source

On local fractional integral inequalities via generalized (h˜1,h˜2)\left({\tilde{h}}_{1},{\tilde{h}}_{2})-preinvexity involving local fractional integral operators with Mittag-Leffler kernel

open access: yesDemonstratio Mathematica, 2023
Local fractional integral inequalities of Hermite-Hadamard type involving local fractional integral operators with Mittag-Leffler kernel have been previously studied for generalized convexities and preinvexities.
Vivas-Cortez Miguel   +3 more
doaj   +1 more source

Monotone and convex H*‐algebra valued functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 3, Page 473-479, 1996., 1995
Classical theorems about monotone and convex functions are generalized to the case of H*‐algebra valued functions. Also there are new examples of a vector measure.
Parfeny P. Saworotnow
wiley   +1 more source

A note on an inequality for the gamma function

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 1, Issue 2, Page 227-233, 1978., 1977
Some inequalities for the Wallis functions are proved. The results of this paper are consequences of some characterization of convex functions. A generalization of a result of Boyd (1) and an extentlon of an inequality of Gantschi (3) are obtained.
Christopher Olutunde Imoru
wiley   +1 more source

Leibniz seminorms in probability spaces [PDF]

open access: yes, 2014
In this paper we study the (strong) Leibniz property of centered moments of bounded random variables. We shall answer a question raised by M.
Besenyei, Adam, Leka, Zoltan
core   +2 more sources

Integral inequalities via harmonically h-convexity

open access: yesMoroccan Journal of Pure and Applied Analysis, 2021
In this paper, we establish some estimates of the left side of the generalized Gauss-Jacobi quadrature formula for harmonic h-preinvex functions involving Euler’s beta and hypergeometric functions.
Merad Meriem   +2 more
doaj   +1 more source

Some new inequalities of Hermite-Hadamard type for s-convex functions with applications

open access: yesOpen Mathematics, 2017
In this paper, we present several new and generalized Hermite-Hadamard type inequalities for s-convex as well as s-concave functions via classical and Riemann-Liouville fractional integrals.
Khan Muhammad Adil   +3 more
doaj   +1 more source

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