Results 41 to 50 of about 725 (168)

The Best Bounds in Kershaw's Inequality and Two Completely Monotonic Functions

open access: yes, 2006
A new proof for monotonicity and convexity of a function deduced from Kershaw’s inequality involving the Wallis’ function about the Euler’s gamma function is provided.
Qi, Feng
core  

Spectral inequalities and G-functions

open access: yes, 1980
The results of Ostrowski on nonsingularity of matrices through diagonal dominance are generalized to the case of monotonic norms. From these results, combined with a basic theorem of Ky Fan, one obtains refinements and generalizations of the classical ...
Tovar, Raul, Nowosad, Pedro
core   +1 more source

New Upper Bounds in the Second Kershaw's Double Inequality and its Generalizations

open access: yes, 2007
In the paper, new upper bounds in the second Kershaw’s double inequality and its generalizations involving the gamma, psi and polygamma functions are established, some known results are ...
Guo, Senlin, Qi, Feng
core  

An inequality for monotonic functions generalizing Ostrowski and related results

open access: yesComputers & Mathematics with Applications, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sever Silvestru Dragomir, Anthony Sofo
openaire   +2 more sources

Complete Monotonicity of Logarithmic Mean

open access: yes, 2007
In the article, the logarithmic mean is proved to be completely monotonic and an open problem about the logarithmically complete monotonicity of the extended mean values is ...
Qi, Feng
core  

Generalization of Subadditive, Monotone and Convex Functions

open access: yes, 2023
Let $I\subseteq{\mathbb{R_+}}$ be a non empty and non singleton interval where ${\mathbb{R_+}}$ denotes the set of all non negative numbers. A function $Φ: I\to {\mathbb{R_+}}$ is said to be subadditive if for any $x,y$ and $x+y\in I$, it satisfies the following inequality $$Φ(x+y)\leq Φ(x)+Φ(y).$$ In this paper, we consider this ordinary notion of ...
openaire   +2 more sources

Weighted Norm Inequalities for General Operators on Monotone Functions [PDF]

open access: yesTransactions of the American Mathematical Society, 1993
In this paper we characterize the weights w , v w,v
openaire   +2 more sources

Generalizations of weighted trapezoidal inequality for monotonic functions and applications

open access: yes, 2007
In this paper we establish some generalizations of a weighted trapezoidal inequality for monotonic functions and give several applications for the r-moments, the expectation of a continuous random variable and the Beta and Gamma ...
Yang, Gou-Sheng   +2 more
core  

Generalizations and refinements of Opial type inequalities [PDF]

open access: yes, 2016
U disertaciji je promatrana Opialova nejednakost i njezina poopćenja i profinjenja, kratko rečeno, proučavane su nejednakosti Opialova tipa. Prvo su dobivene nove nejednakosti Opialova tipa za konveksne funkcije koje su poopćenja i profinjenja Opialove ...
Barbir, Ana
core  

Generalizations of Weighted Trapezoidal Inequality for Monotonic Mappings and Its Applications

open access: yes, 2003
In this paper, we establish some generalizations of weighted trapezoid inequality for monotonic mappings, and give several applications for r − moment, the expectation of a continuous random variable and the Beta ...
Yang, Gou-Sheng   +2 more
core  

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