Results 21 to 30 of about 887 (159)

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

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

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

Refinements of quantum Hermite-Hadamard-type inequalities

open access: yesOpen Mathematics, 2021
In this paper, we first obtain two new quantum Hermite-Hadamard-type inequalities for newly defined quantum integral. Then we establish several refinements of quantum Hermite-Hadamard inequalities.
Budak Hüseyin   +3 more
doaj   +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

Ostrowski type fractional integral inequalities for MT-convex functions

open access: yes, 2015
Some inequalities of Ostrowski type for MT-convex functions via fractional integrals are obtained. These results not only generalize those of [25], but also provide new estimates on these types of Ostrowski inequalities for fractional integrals.
Wenjun Liu
semanticscholar   +1 more source

On a Separation Theorem for Delta-Convex Functions

open access: yesAnnales 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

New properties for the Ramanujan R-function

open access: yesOpen Mathematics, 2022
In the article, we establish some monotonicity and convexity (concavity) properties for certain combinations of polynomials and the Ramanujan R-function by use of the monotone form of L’Hôpital’s rule and present serval new asymptotically sharp bounds ...
Cai Chuan-Yu   +3 more
doaj   +1 more source

Some integral inequalities for generalized left and right log convex interval-valued functions based upon the pseudo-order relation

open access: yesDemonstratio Mathematica, 2022
It is a well-known fact that inclusion and pseudo-order relations are two different concepts which are defined on the interval spaces, and we can define different types of convexities with the help of both relations.
Khan Muhammad Bilal   +4 more
doaj   +1 more source

Improved Jensen's inequality

open access: yes, 2017
In this article we present refinements of Jensen’s inequality and its reversal for convex functions, by adding as many refining terms as we wish. Then as a standard application, we present several refinements and reverses of well known mean inequalities.
Mohammad Sababheh
semanticscholar   +1 more source

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