Results 71 to 80 of about 326 (116)

On the weighted Ostrowski type integral inequality for double integrals [PDF]

arXiv, 2010
In this paper, we establish new an inequality of weighted Ostrowski-type for double integrals involving functions of two independent variables by using fairly elementary analysis.
arxiv  

Inequalities Involving $q$-Analogue of Multiple Psi Functions

, 2020
Logarithmic derivative of the multiple gamma function is known as the multiple psi function. In this work q-analogue of multiple psi functions of order n have been considered.
Sourav Das
semanticscholar   +1 more source

An Optimal Two Parameter Bounds for the Identric Mean [PDF]

arXiv, 2012
In this note we obtain sharp bounds for the identric mean in terms of a two parameter family of means. Our results generalize and extend recent bounds due to Y. M. Chu & al. (2011), and to M.-K. Wang & al. (2012).
arxiv  

A complete monotonicity property of the multiple gamma function

, 2020
We consider the following functions fn (x) = 1− ln x + lnGn (x +1) x and gn (x) = x Gn (x +1) x , x ∈ (0,∞), n ∈N, where Gn (z) = (Γn (z))(−1) and Γn is the multiple gamma function of order n. In this work, our aim is to establish that f (2n) 2n (x) and (
Sourav Das
semanticscholar   +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

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

Inequalities for weighted sums of powers and their applications

, 2012
Two inequalities for weighted sums of powers are established. Applications to Jacobian elliptic functions and Legendre’s elliptic integrals of the first kind are presented.
E. Neuman
semanticscholar   +1 more source

A look at generalized trigonometric functions as functions of their two parameters and further new properties [PDF]

Investigation of the generalized trigonometric and hyperbolic functions containing two parameters has been a very active research area over the last decade. We believe, however, that their monotonicity and convexity properties with respect to parameters have not been thoroughly studied. In this paper, we make an attempt to fill this gap.
arxiv   +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

A Computer Proof of Turan's Inequality [PDF]

arXiv, 2005
We show how Turan's inequality $P_n(x)^2-P_{n-1}(x)P_{n+1}(x)\geq 0$ for Legendre polynomials and related inequalities can be proven by means of a computer procedure. The use of this procedure simplifies the daily work with inequalities. For instance, we have found the stronger inequality $|x|P_n(x)^2-P_{n-1}(x)P_{n+1}(x)\geq 0$, $-1\leq x\leq 1 ...
arxiv