Results 41 to 50 of about 101 (93)

Generalization of Some Inequalities for The Gamma Function

, 2020
An inequality involving the Euler gamma function is presented. This result generalizes several recently published results by C. Alsina and M.S. Tomás, N. V . Vinh, N. P. N. Ngoc.
Thao Hien, Nguyen Ngoc, Pham Thi, Nguyen Van Vinh, Ngo Phuoc   +4 more
core  

Generalized Fractional Integral Inequalities of σ‐Convex Functions

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this paper, we prove generalized fractional integral inequalities of Hermite–Hadamard–type with respect to a monotone function for σ‐convex functions on account of the Riemann–Liouville fractional integral. Furthermore, we generalize the main results in the form of k‐fractional Riemann–Liouville integrals.
Shweta Lather, Harish Nagar, Zafar Ullah
wiley   +1 more source

The evaluation of a definite integral by the method of brackets illustrating its flexibility

Open Mathematics
The method of brackets is a procedure to evaluate definite integrals over a half-line. It consists of a small number of rules. This article illustrates the method by evaluating an integral by several variations of the method. The integrand is the product
Gonzalez Ivan, Santander John Lopez, Moll Victor H.   +2 more
doaj   +1 more source

A direct approach for proving Wallis ratio estimates and an improvement of Zhang-Xu-Situ inequality [PDF]

, 2015
In time, inequalities about Wallis ratio and related functions were presented by many mathematicians. In this paper, we show how estimates on the Wallis ratio can be obtained using the asymptotic series. Finally, an improvement of an inequality due to X.-
CRISTEA, Valentin Gabriel
core  

NOTES ON THE HISTORICAL BIBLIOGRAPHY OF THE GAMMA FUNCTION

, 2020
Telegraphic notes on the historical bibliography of the Gamma function and Eulerian integrals. We correct some classical references. Some topics of the interest of the author. We provide some extensive (but not exhaustive) bibliography.
Pérez-Marco, Ricardo
core  

A Fractional LC − RC Circuit [PDF]

, 2006
Mathematics Subject Classification: 26A33, 30B10, 33B15, 44A10, 47N70, 94C05We suggest a fractional differential equation that combines the simple harmonic oscillations of an LC circuit with the discharging of an RC circuit.
Alzoubi, F., Hasan (Qaseer), M., Rousan, A., Khateeb, H., Ayoub, N., Al-Qadi, M., Albiss, B.   +6 more
core  

alsirehyAMS312708-8p.dvi

, 2014
The neutrix convolutions (1+x) s ln(1+x + ) x r and x s ln(1+x + ) x r are evaluated for r, s = 0, 1, 2, . . . . Further results are also given.
Brian Fisher, Fatma Al-Sirehy
core  

A surprising property of nonlocal operators: the deregularising effect of nonlocal elements in convolution differential equations

Advanced Nonlinear Studies
We consider nonlocal differential equations with convolution coefficients of the form−M(a*|u|q)(1)μ(t)u″(t)=λft,u(t), t∈(0,1), $$-M\left(\left(a {\ast} \vert u{\vert }^{q}\right)\left(1\right)\mu \left(t\right)\right){u}^{{\prime\prime}}\left(t\right ...
Goodrich Christopher S.
doaj   +1 more source

© Hindawi Publishing Corp. ASYMPTOTIC EXPANSIONS FOR RATIOS OF PRODUCTS OF GAMMA FUNCTIONS

, 2002
An asymptotic expansion for a ratio of products of gamma functions is derived. 2000 Mathematics Subject Classification: 33B15, 33C20. 1. Introduction. An asymptotic expansion for a ratio of products of gamma functions has recently been found [2], which ...
Wolfgang Bühring
core  

A topological analysis of p(x)-harmonic functionals in one-dimensional nonlocal elliptic equations

Advanced Nonlinear Studies
We consider a class of one-dimensional elliptic equations possessing a p(x)-harmonic functional as a nonlocal coefficient.
Goodrich Christopher S.
doaj   +1 more source