Results 81 to 90 of about 649 (183)

Certain inequalities involving the k-Struve function

Journal of Inequalities and Applications, 2017
We aim to introduce a k-Struve function and investigate its various properties, including mainly certain inequalities associated with this function. One of the inequalities given here is pointed out to be related to the so-called classical Turán-type ...
Kottakkaran Sooppy Nisar, Saiful Rahman Mondal, Junesang Choi   +2 more
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Stirling numbers and inverse factorial series [PDF]

Contributions to Mathematics, 2023
Khristo N. Boyadzhiev
doaj   +1 more source

Error Bounds for Fractional Integral Inequalities with Applications

Fractal and Fractional
Fractional calculus has been a concept used to obtain new variants of some well-known integral inequalities. In this study, our main goal is to establish the new fractional Hermite–Hadamard, and Simpson’s type estimates by employing a differentiable ...
Nouf Abdulrahman Alqahtani, Shahid Qaisar, Arslan Munir, Muhammad Naeem, Hüseyin Budak   +4 more
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A completely monotonic function involving \(q\)-gamma and \(q\)-digamma functions

Journal of Approximation Theory, 2012
The author proves the completely monotonicity of functions involving \(q\)-gamma and \(q\)-digamma functions, for \(q>0\). The obtained results give new inequalities for \(q\)-gamma functions as well as generalize other obtained results.
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A new class of integral relation involving ℵ-functions, [PDF]

Surveys in Mathematics and its Applications, 2017
The present article is devoted to evaluate new integral relations involving the ℵ-functions. The results are expressed in the terms of the Psi functions.
D.L. Suthar, Belete Debalkie
doaj  

On an integral involving the digamma function

, 2012
We consider several possible approaches to evaluating an integral involving the digamma function and a related logarithmic series.
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Monotonic nature of the Gamma function

Journal of Inequalities and Applications
This study begins by examining the monotonic behavior of the function ln Γ ( x + 1 ) / ( ln ( x 2 + 6 ) − ln ( x + 6 ) ) $\ln \Gamma (x+1)/\left (\ln \left (x^{2}+6\right )-\ln (x+6)\right )$ on the interval x ∈ ( − 1 , 1 ) $x\in (-1,1)$ , supported by ...
Teodor Bulboacă, Hanaa M. Zayed
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Some inequalities involving ratios and products of the gamma function

Le Matematiche, 2013
In this paper, we establish some generalized inequalities for the gamma function using the properties of logarithmically convex/concave functions.
Mridula Garg, Ajay Sharma, Pratibha Manohar   +2 more
doaj  

Generalized Error Bounds for Mercer-Type Inequalities in Fractional Integrals with Applications

Universal Journal of Mathematics and Applications
Fractional integral inequalities have emerged as powerful and versatile tools in advancing both pure and applied mathematics in recent years. Numerous researchers have recently introduced various generalized inequalities involving fractional integral ...
Arslan Munir, Hüseyin Budak, Artion Kashuri   +2 more
doaj   +1 more source

Inequalities involving the gamma and digamma functions

, 2018
We improve the upper bounds of the following inequalities proved in [H. Alzer and N. Batir, Monotonicity properties of the gamma function, Appl. Math. Letters, 20(2007), 778-781]. \begin{equation*} exp\left(-\frac{1}{2} \left(x+\frac{1}{3}\right)\right)
openaire   +2 more sources