ON HARDY TYPE INEQUALITIES VIA K-FRACTIONAL INTEGRALS

Volume: 10 Number: 2 March 1, 2020
  • M. Z. Sarıkaya
  • C. C. Bılışık
  • T. Tunç
EN

ON HARDY TYPE INEQUALITIES VIA K-FRACTIONAL INTEGRALS

Abstract

In this study, we will give the k-fractional integral inequalities to take advantage of the some results of Hardy type inequalities and some special cases.

Keywords

References

  1. Abramovich, S., Knlic, K., Pecacard, J. and Presson, E., (2010), Some new refined Hardy type inequalities with general Kernels and measures, Aequat. Math., 79(1-2), pp. 157-172.
  2. Diaz, R. and Pariguan, E., (2007), On hypergeometric functions and Pochhammer k symbol, Divulg. Math, 15, pp. 179-192.
  3. Diaz, R., Ortiz, C. and Pariguan, E., (2010), On the k -gamma q -distribution, Cent. Eur. J. Math., , (3) , pp. 448-458.
  4. Hardy, G. H., Littlewood, J. E. and Polya, G., (1952), Inequalities, 2nd Ed. Cambridge Univ.
  5. Hardy, G. H., (1920), Note on a theorem of Hilbert, Math.Z., 6, (3-4), pp. 314-317.
  6. Hardy, G. H., (1928), Notes on some points in the integral calculus, Messenger Math., 57 , pp. 12-16.
  7. Khameli, A., Dahmani, Z., Freha, K. and Sarıkaya, M. Z., (2016), New- Riemann- Liouville general- izations for some inequalities of Hardy type, Malaya J. Mat., 4, (2), pp. 277-283.
  8. Kokologiannaki, C. G., (2010), Properties and inequalities of generalized k - gamma, beta and zeta functions, Int. J. Contemp. Math. Sciences, 5, (14) , pp. 653-660.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

M. Z. Sarıkaya This is me

C. C. Bılışık This is me

T. Tunç This is me

Publication Date

March 1, 2020

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2020 Volume: 10 Number: 2

APA
Sarıkaya, M. Z., Bılışık, C. C., & Tunç, T. (2020). ON HARDY TYPE INEQUALITIES VIA K-FRACTIONAL INTEGRALS. TWMS Journal of Applied and Engineering Mathematics, 10(2), 443-451. https://izlik.org/JA34AJ28US
AMA
1.Sarıkaya MZ, Bılışık CC, Tunç T. ON HARDY TYPE INEQUALITIES VIA K-FRACTIONAL INTEGRALS. JAEM. 2020;10(2):443-451. https://izlik.org/JA34AJ28US
Chicago
Sarıkaya, M. Z., C. C. Bılışık, and T. Tunç. 2020. “ON HARDY TYPE INEQUALITIES VIA K-FRACTIONAL INTEGRALS”. TWMS Journal of Applied and Engineering Mathematics 10 (2): 443-51. https://izlik.org/JA34AJ28US.
EndNote
Sarıkaya MZ, Bılışık CC, Tunç T (March 1, 2020) ON HARDY TYPE INEQUALITIES VIA K-FRACTIONAL INTEGRALS. TWMS Journal of Applied and Engineering Mathematics 10 2 443–451.
IEEE
[1]M. Z. Sarıkaya, C. C. Bılışık, and T. Tunç, “ON HARDY TYPE INEQUALITIES VIA K-FRACTIONAL INTEGRALS”, JAEM, vol. 10, no. 2, pp. 443–451, Mar. 2020, [Online]. Available: https://izlik.org/JA34AJ28US
ISNAD
Sarıkaya, M. Z. - Bılışık, C. C. - Tunç, T. “ON HARDY TYPE INEQUALITIES VIA K-FRACTIONAL INTEGRALS”. TWMS Journal of Applied and Engineering Mathematics 10/2 (March 1, 2020): 443-451. https://izlik.org/JA34AJ28US.
JAMA
1.Sarıkaya MZ, Bılışık CC, Tunç T. ON HARDY TYPE INEQUALITIES VIA K-FRACTIONAL INTEGRALS. JAEM. 2020;10:443–451.
MLA
Sarıkaya, M. Z., et al. “ON HARDY TYPE INEQUALITIES VIA K-FRACTIONAL INTEGRALS”. TWMS Journal of Applied and Engineering Mathematics, vol. 10, no. 2, Mar. 2020, pp. 443-51, https://izlik.org/JA34AJ28US.
Vancouver
1.M. Z. Sarıkaya, C. C. Bılışık, T. Tunç. ON HARDY TYPE INEQUALITIES VIA K-FRACTIONAL INTEGRALS. JAEM [Internet]. 2020 Mar. 1;10(2):443-51. Available from: https://izlik.org/JA34AJ28US