Research Article

THE (q; k)-EXTENSION OF SOME GAMMA FUNCTION INEQUALITIES

Volume: 4 Number: 1 April 1, 2016
EN

THE (q; k)-EXTENSION OF SOME GAMMA FUNCTION INEQUALITIES

Abstract

In this paper, the authors establish some inequalities for the (q; k)- extension of the classical Gamma function. The procedure utilizes a mono- tonicity property of the (q; k)-extension of the psi function. As an application, some previous results are recovered as special cases of the results of this paper.

Keywords

References

  1. [1] C. Alsina and M. S. Tomas, A geometrical proof of a new inequality for the gamma function, J. Ineq. Pure Appl. Math. 6(2) (2005), Art. 48.
  2. [2] T. M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, 1976.
  3. [3] L. Bougo a, Some inequalities involving the Gamma Function, J. Ineq. Pure Appl. Math. 7(5)(2006), Art. 179.
  4. [4] K. Brahim and Y. Sidomou, Some inequalities for the q; k-Gamma and Beta functions, Malaya Journal of Matematik, 1(1)(2014), 61-71.
  5. [5] R. Daz and E. Pariguan, On hypergeometric functions and Pachhammer k-symbol, Divulga- ciones Matemtcas 15(2)(2007), 179-192.
  6. [6] R. Daz and C. Teruel, q; k-generalized gamma and beta functions, J. Nonlin. Math. Phys. 12(2005), 118-134.
  7. [7] F. H. Jackson, On a q-De nite Integrals, Quarterly Journal of Pure and Applied Mathematics 41(1910), 193-203.
  8. [8] V. Krasniqi and F. Merovci, Some Completely Monotonic Properties for the (p; q)-Gamma Function, Mathematica Balkanica, New Series 26(2012), Fasc. 1-2.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Edward Prempeh This is me
Ghana

Stephen Boakye Twum * This is me
Ghana

Publication Date

April 1, 2016

Submission Date

July 10, 2014

Acceptance Date

-

Published in Issue

Year 2016 Volume: 4 Number: 1

APA
Nantomah, K., Prempeh, E., & Twum, S. B. (2016). THE (q; k)-EXTENSION OF SOME GAMMA FUNCTION INEQUALITIES. Konuralp Journal of Mathematics, 4(1), 148-154. https://izlik.org/JA83LC79BW
AMA
1.Nantomah K, Prempeh E, Twum SB. THE (q; k)-EXTENSION OF SOME GAMMA FUNCTION INEQUALITIES. Konuralp J. Math. 2016;4(1):148-154. https://izlik.org/JA83LC79BW
Chicago
Nantomah, Kwara, Edward Prempeh, and Stephen Boakye Twum. 2016. “THE (q; K)-EXTENSION OF SOME GAMMA FUNCTION INEQUALITIES”. Konuralp Journal of Mathematics 4 (1): 148-54. https://izlik.org/JA83LC79BW.
EndNote
Nantomah K, Prempeh E, Twum SB (April 1, 2016) THE (q; k)-EXTENSION OF SOME GAMMA FUNCTION INEQUALITIES. Konuralp Journal of Mathematics 4 1 148–154.
IEEE
[1]K. Nantomah, E. Prempeh, and S. B. Twum, “THE (q; k)-EXTENSION OF SOME GAMMA FUNCTION INEQUALITIES”, Konuralp J. Math., vol. 4, no. 1, pp. 148–154, Apr. 2016, [Online]. Available: https://izlik.org/JA83LC79BW
ISNAD
Nantomah, Kwara - Prempeh, Edward - Twum, Stephen Boakye. “THE (q; K)-EXTENSION OF SOME GAMMA FUNCTION INEQUALITIES”. Konuralp Journal of Mathematics 4/1 (April 1, 2016): 148-154. https://izlik.org/JA83LC79BW.
JAMA
1.Nantomah K, Prempeh E, Twum SB. THE (q; k)-EXTENSION OF SOME GAMMA FUNCTION INEQUALITIES. Konuralp J. Math. 2016;4:148–154.
MLA
Nantomah, Kwara, et al. “THE (q; K)-EXTENSION OF SOME GAMMA FUNCTION INEQUALITIES”. Konuralp Journal of Mathematics, vol. 4, no. 1, Apr. 2016, pp. 148-54, https://izlik.org/JA83LC79BW.
Vancouver
1.Kwara Nantomah, Edward Prempeh, Stephen Boakye Twum. THE (q; k)-EXTENSION OF SOME GAMMA FUNCTION INEQUALITIES. Konuralp J. Math. [Internet]. 2016 Apr. 1;4(1):148-54. Available from: https://izlik.org/JA83LC79BW
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