Results 51 to 60 of about 357 (103)

An analysis of exponential kernel fractional difference operator for delta positivity

Nonlinear Engineering
Positivity analysis for a fractional difference operator including an exponential formula in its kernel has been examined. A composition of two fractional difference operators of order (ν,μ)\left(\nu ,\mu ) in the sense of Liouville–Caputo type operators
Mohammed Pshtiwan Othman
doaj   +1 more source

Monotonic functions related to the $q$-gamma and q-trigamma functions with applications

, 2017
In this paper our aim is to investigate necessary and sufficient conditions for the complete monotonicity properties of some functions related to the q -gamma and q -trigamma functions.
K. Mehrez
semanticscholar   +1 more source

Relationships Between Generalized Bernoulli Numbers and Polynomials and Generalized Euler Numbers and Polynomials [PDF]

, 2002
In this paper, concepts of the generalized Bernoulli and Euler numbers and polynomials are introduced, and some relationships between them are ...
Luo, Qiu-Ming, Qi, Feng
core  

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

, 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  

Complete monotonicity properties and asymptotic expansions of the logarithm of the gamma function

, 2015
We prove two conjectures of Chen concerning the complete monotonicity properties of some functions involving the gamma and polygamma functions. We prove asymptotic expansions of the logarithm of the gamma function in terms of the polygamma functions, and
Chao Chen, Jing-Yun Liu
semanticscholar   +1 more source

On the q-beta function inequalities

, 2015
In this paper, we provide some inequalities for the q -beta function with q > 0 by means of calculus and q -Čebyšev-Grüss type integral inequalities. When letting q → 1 , some of our results approach to results obtained by some authors and the others are
A. Salem
semanticscholar   +1 more source

Properties of three functions relating to the exponential function and the existence of partitions of unity

, 2012
In the paper, the author studies properties of three functions relating to the exponential function and the existence of partitions of unity, including accurate and explicit computation of their derivatives, analyticity, complete monotonicity ...
Qi, Feng
core  

A class of completely monotonic functions involving divided differences of the psi and polygamma functions and some applications

, 2009
A class of functions involving the divided differences of the psi function and the polygamma functions and originating from Kershaw's double inequality are proved to be completely monotonic.
Guo, Bai-Ni, Qi, Feng
core   +1 more source

On singular nonlinear distributional and impulsive initial and boundary value problems

Boundary Value Problems, 2011
Purpose To derive existence and comparison results for extremal solutions of nonlinear singular distributional initial value problems and boundary value problems.
Heikkilä Seppo
doaj