Results 61 to 70 of about 471 (101)

On Hadamard Type Integral Inequalities for nonconvex Functions [PDF]

, 2013
In this paper, we extend some estimates of the right and left hand side of a Hermite-Hadamard type inequality for nonconvex functions whose derivatives absolute values are \Phi-convex and quasi-\Phi-convex was introduced by Noor in Noor1.Comment ...
Communicated Murat Tosun, Hakan Bozkurt, Mehmet Zeki Sarikaya, Necmettin Alp   +3 more
core  

Proof of one open inequality of Laub-Ilani type

, 2020
In this paper, we prove one new algebraic trigonometric inequality of Laub-Ilani type. This inequality was posted as the Conjecture 2.4 in the paper A. Y. Özban, “New AlgebraicTrigonometric Inequalities of Laub-Ilani type”, Bull. Aust. Math.
Ladislav atejíčcka
semanticscholar   +1 more source

Decreasing and complete monotonicity of functions defined by derivatives of completely monotonic function involving trigamma function

Demonstratio Mathematica
In this study, using convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other analytic techniques, the authors verify decreasing property
Yin Hong-Ping, Han Ling-Xiong, Qi Feng
doaj   +1 more source

New inequalities for the volume of the unit ball in ℝ^n

, 2017
Many interesting monotonicity properties and inequalities for the volume of the unit ball in Rn have been established. The main object of this paper is to establish new inequalities for the volume of the unit ball in Rn .
Tao Ban, Chao Chen
semanticscholar   +1 more source

Complete monotonicity properties of functions involving q-gamma and q-digamma functions

, 2014
In this paper, the q -analogue of the Stirling formula (the Moak formula) for the q gamma function is exploited to prove the complete monotonicity property of functions involving the q -gamma and the q -digamma functions.
A. Salem
semanticscholar   +1 more source

Some new Hermite-Hadamard-type inequalities for strongly h-convex functions on co-ordinates

Open Mathematics
In this article, we study some Hermite-Hadamard-type inequalities for strongly hh-convex functions on co-ordinates in Rn{{\mathbb{R}}}^{n}, which extend some known results. Some mappings connected with these inequalities and related applications are also
Hong Weizhi, Xu Yanran, Ruan Jianmiao, Ma Xinsheng   +3 more
doaj   +1 more source

Floor, ceiling and the space between

Annals of the West University of Timisoara: Mathematics and Computer Science
Motivated by a question on the ranges of the commutators of dilated floor functions in [10], together with a related problem in [3], we investigate the precise ranges of certain generalized polynomials dependent on a real parameter. Our analysis requires
Bényi Árpád, Ćurgus Branko
doaj   +1 more source

Sharp bounds for the arithmetic-geometric mean

, 2014
In this article, we establish some new inequality chains for the ratio of certain bivariate means, and we present several sharp bounds for the arithmetic-geometric mean.MSC:26E60, 26D07, 33E05.
Zhen-Hang Yang, Ying-Qing Song, Y. Chu
semanticscholar   +1 more source

On New Inequalities Involving Circular, Inverse Circular, Inverse Hyperbolic and Exponential Functions

, 2020
In this paper, we provide alternative proofs to some results proposed in the article ”New inequalities involving circular, inverse circular, hyperbolic, inverse hyperbolic and exponential functions” authored by Yogesh J. Bagul.
Yogesh J. Bagul, Sumedh B. Thool, R. Dhaigude   +2 more
semanticscholar   +1 more source

New inequalities for hyperbolic functions and their applications

, 2012
In this paper, we obtain some new inequalities in the exponential form for the whole of the triples about the four functions {1,(sinht)/t,exp(tcotht−1),cosht}.
Ling Zhu
semanticscholar   +1 more source