Results 41 to 50 of about 326 (116)

A harmonic mean inequality for the polygamma function

, 2020
In this work, we discuss some new inequalities and a concavity property of the polygamma function ψ (n)(x) = dn dxn ψ(x) , x > 0 , where ψ(x) represents the digamma function (i.e. logarithmic derivative of the gamma function Γ(x) ).
Sourav Das, A. Swaminathan
semanticscholar   +1 more source

Bounds for the ratio of two gamma functions: from Wendel’s asymptotic relation to Elezović-Giordano-Pečarić’s theorem [PDF]

, 2009
In the expository review and survey paper dealing with bounds for the ratio of two gamma functions, along one of the main lines of bounding the ratio of two gamma functions, the authors look back and analyze some known results, including Wendel’s ...
Feng Qi (祁锋), Qiu-Ming Luo
semanticscholar   +1 more source

Logarithmic convexity of Gini means [PDF]

Jiao-Lian Zhao, Qiu-Ming Luo, Bai-Ni Guo, and Feng Qi, Logarithmic convexity of Gini means, Journal of Mathematical Inequalities 6 (2012), no. 4, 509--516, 2009
In the paper, the monotonicity and logarithmic convexity of Gini means and related functions are investigated.
arxiv   +1 more source

Extension of complete monotonicity results involving the digamma function

Moroccan Journal of Pure and Applied Analysis, 2018
By using some analytical techniques, we prove a complete monotonicity property of a certain function involving the (p, k)-digamma function. Subsequently, we derive some inequalities for the (p, k)- digamma function.
Nantomah Kwara
doaj   +1 more source

Refinements of lower bounds for polygamma functions [PDF]

Bai-Ni Guo and Feng Qi, Refinements of lower bounds for polygamma functions, Proceedings of the American Mathematical Society 141 (2013), no. 3, 1007--1015, 2009
In the paper, some lower bounds for polygamma functions are refined.
arxiv   +1 more source

Improved arithmetic-geometric mean inequality and its application

, 2015
In this short note, we present a refinement of the well-known arithmetic-geometric mean inequality. As application of our result, we obtain an operator inequality. Mathematics subject classification (2010): 46A73, 26D07, 26D15.
L. Zou, Youyi Jiang
semanticscholar   +1 more source

Fractional Ostrowski type inequalities for functions of bounded variaton with two variables

Miskolc Mathematical Notes, 2020
We first establish some fractional equalities for functions of bounded variation with two variables. Then we derive some fractional Ostrowski and Trapezoid type inequalities for functions of bounded variation with two variables. In addition, we give some
S. Erden, H. Budak, M. Sarıkaya
semanticscholar   +1 more source

Inequalities Involving the Derivative of Rational Functions With Prescribed Poles

Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.
This paper gives an upper bound of a modulus of the derivative of rational functions. rz=z−z0shz/wz∈Rm,n, where r(z) has exactly n poles a1, a2, ⋯, an and all the zeros of r(z) lie in Dk∪Dk+,k ≥ 1 except the zeros of order s at z0, |z0| < k. Moreover, we give an upper bound of a modulus of the derivative of rational functions.
Preeti Gupta, Chong Lin
wiley   +1 more source

Enhanced Young-type inequalities utilizing Kantorovich approach for semidefinite matrices

Open Mathematics
This article introduces new Young-type inequalities, leveraging the Kantorovich constant, by refining the original inequality. In addition, we present a range of norm-based inequalities applicable to positive semidefinite matrices, such as the Hilbert ...
Bani-Ahmad Feras, Rashid Mohammad Hussein Mohammad   +1 more
doaj   +1 more source

Simpson, midpoint, and trapezoid-type inequalities for multiplicatively s-convex functions

Demonstratio Mathematica
In this study, we establish new generalizations and results for Simpson, midpoint, and trapezoid-type integral inequalities within the framework of multiplicative calculus. We begin by proving a new identity for multiplicatively differentiable functions.
Özcan Serap
doaj   +1 more source