On Some Inequalities for the Chaudhry-Zubair Extension of the Gamma Function

Atugba, Monica Atogpelge; Nantomah, Kwara

doi:10.9734/arjom/2019/v14i130117

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2023

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Cited by 3 publications

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References 21 publications

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“…Similar inequalities for the original version of chaudhry-Zubair gamma function can be found in [28,29].…”

Section: 18)supporting

confidence: 63%

On Some Generalized Number Theoretic Functions and Ighachane-Akkouchi Holder's Inequalities

Atale¹

2022

ARJOM

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Aims/ Objectives: Recently, it has been shown by Ighachane and Akkouchi [1] that using binomial coefficients, one can derive some new refinements of Holder’s inequalities. This inequalities then can be applied to a wide class of special functions such as the Nielsen’s beta function and some extended gamma functions. In this paper, we have derived some generalizations of previously known number theoretic functions. Furthermore, based on the results of Ighachane and Akkouchi, Holder’s inequalities for the derived generalized functions are established.

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“…Similar inequalities for the original version of chaudhry-Zubair gamma function can be found in [28,29].…”

Section: 18)supporting

confidence: 63%

On Some Generalized Number Theoretic Functions and Ighachane-Akkouchi Holder's Inequalities

Atale¹

2022

ARJOM

View full text Add to dashboard Cite

show abstract

“…Let m = n = 0 and a = b = 1 in the Theorem 5. Then we obtain the Theorem 3.9 and Corollary 3.10 in [11].…”

Section: Remarkmentioning

confidence: 66%

“…In this paper our goal is to give some inequalities concerning the function Γ (m) b,k (x) for x > 0 by using similar techniques as in [10] and [11]. Our results are also generalizations of some known results in the literature.…”

Section: Introductionmentioning

confidence: 68%