Results 61 to 70 of about 466 (100)

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 extensions related to Fejér-type inequalities for GA-convex functions

Demonstratio Mathematica
In this study, some mappings related to the Fejér-type inequalities for GAGA-convex functions are defined over the interval [0,1]{[}0,1]. Some Fejér-type inequalities for GAGA-convex functions are proved using these mappings. Properties of these mappings
Latif Muhammad Amer
doaj   +1 more source

Ostrowski Type Fractional Integral Inequalities for S-Godunova-Levin Functions via Katugampola Fractional Integrals

, 2017
In this paper, we give some fractional integral inequalities of Ostrowski type for s-Godunova-Levin functions via Katugampola fractional integrals. We also deduce some known Ostrowski type fractional integral inequalities for Riemann-Liouville fractional
G. Farid, Udita N. Katugampola, Muhammad Usman   +2 more
semanticscholar   +1 more source

Two sharp inequalities for trigonometric and hyperbolic functions

, 2012
We determine the best positive constants p and q such that (sinhx/x)p < x/sinx < (sinhx/x)q. Some applications for Wilker’s type inequalities are given. Mathematics subject classification (2010): 26D05, 26D07, 26D99.
Chao Chen, J. Sándor
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

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

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

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

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

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