Results 61 to 70 of about 887 (159)
On some extremalities in the approximate integration
, 2010 Some extremalities for quadrature operators are proved for convex functions of higher order. Such results are known in the numerical analysis, however they are often proved under suitable differentiability assumptions. In our considerations we do not use
Wasowicz, Szymon
core +1 more source
On some new inequalities for differentiable co-ordinated convex functions
, 2012 Several new inequalities for differentiable co-ordinated convex and concave functions in two variables which are related to the left side of Hermite- Hadamard type inequality for co-ordinated convex functions in two variables are obtained.Mathematics ...
M. Latif, S. Dragomir
semanticscholar +1 more source
Open Mathematics, 2022 In this article, we introduce the notions of generalized fractional integrals for the interval-valued functions (IVFs) of two variables. We establish Hermite-Hadamard (H-H) type inequalities and some related inequalities for co-ordinated convex IVFs by ...
Vivas-Cortez Miguel J. +4 more
doaj +1 more source
Some properties of extended remainder of Binet's first formula for logarithm of gamma function
, 2010 In the paper, we extend Binet's first formula for the logarithm of the gamma function and investigate some properties, including inequalities, star-shaped and sub-additive properties and the complete monotonicity, of the extended remainder of Binet's ...
Guo, Bai-Ni, Qi, Feng
core +1 more source
, 2018 Let Iv (x) be modified Bessel functions of the first kind. We prove the monotonicity property of the function x → Iu (x) Iv (x)/I(u+v)/2 (x) on (0,∞) .
Zhen-Hang Yang, Shenzhou Zheng
semanticscholar +1 more source
Miskolc Mathematical Notes, 2019 In this work, firstly, we established Hermite-Hadamard’s inequalities for harmonically convex functions via Katugampola fractional integrals. Then we give some Hermite-Hadamard type inequalities of these classes functions.
İ. Mumcu, E. Set, A. Akdemi̇r
semanticscholar +1 more source
Ostrowski type inequalities for harmonically s-convex functions [PDF]
, 2013 The author introduces the concept of harmonically s-convex functions and establishes some Ostrowski type inequalities and Hermite-Hadamard type inequality of these classes of functions.Comment: 11 ...
Iscan, Imdat
core
Mathematical Inequalities & Applications, 2019 The Jensen’s inequality has tremendous implications in many fields of modern analysis. It helps computing useful upper bounds for several entropic measures used in information theory.
S. Butt +3 more
semanticscholar +1 more source
Demonstratio Mathematica, 2023 The Hermite-Hadamard inequality is regarded as one of the most favorable inequalities from the research point of view. Currently, mathematicians are working on extending, improving, and generalizing this inequality.
Saeed Tareq +4 more
doaj +1 more source
Majorization, “useful” Csiszár divergence and “useful” Zipf-Mandelbrot law
Open Mathematics, 2018 In this paper, we consider the definition of “useful” Csiszár divergence and “useful” Zipf-Mandelbrot law associated with the real utility distribution to give the results for majorizatioQn inequalities by using monotonic sequences.
Latif Naveed +2 more
doaj +1 more source