Research Article

On the Generalized Hermite-Hadamard Inequalities Involving Beta Function

Volume: 9 Number: 1 April 28, 2021
EN

On the Generalized Hermite-Hadamard Inequalities Involving Beta Function

Abstract

In this paper, we establish new generalized fractional integral inequalities of Hermite-Hadamard type which cover the previously published result such as Riemann integral, Riemann-Liouville fractional integral, k-Riemann-Liouville fractional integral.

Keywords

References

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  2. [2] A. Akkurt, M. E. Yildirim, H. Yildirim, On some integral inequalities for (k,h)-Riemann-Liouville fractional inte- gral, New Trends in Mathematical Sciences (NTMSCI) 4 (1), 138-146, 2016.
  3. [3] S. S. Dragomir and R.P. Agarwal, Two inequalities for di¤ erentiable mappings and applications to special means of real numbers and to trapezoidal formula, Appl. Math. lett., 11(5) (1998), 91-95.
  4. [4] A. A. Kilbas, H. M. Srivastava and J. J. Trujillo, Theory and applications of fractional di¤ erential equations, North-Holland Mathematics Studies, 204, Elsevier Sci. B.V., Amsterdam, 2006.
  5. [5] U. S. Kirmaci, Inequalities for di¤ erentiable mappings and applications to special means of real numbers and to midpoint formula, Applied Mathematics and Computation 147 (2004) 137–-46
  6. [6] R. Goren‡o and F. Mainardi, Fractional calculus: integral and di¤ erential equations of fractional order, Springer Verlag, Wien (1997), 223-276.
  7. [7] J. Hadamard, Etude sur les proprietes des fonctions entieres et en particulier d’une fonction considree par, Rie- mann, J. Math. Pures. et Appl. 58 (1893), 171-215.
  8. [8] S. Miller and B. Ross, An introduction to the fractional calculus and fractional di¤ erential equations, John Wiley & Sons, USA, 1993, p.2.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Fatih Ata This is me
Türkiye

Publication Date

April 28, 2021

Submission Date

March 18, 2021

Acceptance Date

April 9, 2021

Published in Issue

Year 2021 Volume: 9 Number: 1

APA
Sarıkaya, M. Z., & Ata, F. (2021). On the Generalized Hermite-Hadamard Inequalities Involving Beta Function. Konuralp Journal of Mathematics, 9(1), 112-118. https://izlik.org/JA38FC94TE
AMA
1.Sarıkaya MZ, Ata F. On the Generalized Hermite-Hadamard Inequalities Involving Beta Function. Konuralp J. Math. 2021;9(1):112-118. https://izlik.org/JA38FC94TE
Chicago
Sarıkaya, Mehmet Zeki, and Fatih Ata. 2021. “On the Generalized Hermite-Hadamard Inequalities Involving Beta Function”. Konuralp Journal of Mathematics 9 (1): 112-18. https://izlik.org/JA38FC94TE.
EndNote
Sarıkaya MZ, Ata F (April 1, 2021) On the Generalized Hermite-Hadamard Inequalities Involving Beta Function. Konuralp Journal of Mathematics 9 1 112–118.
IEEE
[1]M. Z. Sarıkaya and F. Ata, “On the Generalized Hermite-Hadamard Inequalities Involving Beta Function”, Konuralp J. Math., vol. 9, no. 1, pp. 112–118, Apr. 2021, [Online]. Available: https://izlik.org/JA38FC94TE
ISNAD
Sarıkaya, Mehmet Zeki - Ata, Fatih. “On the Generalized Hermite-Hadamard Inequalities Involving Beta Function”. Konuralp Journal of Mathematics 9/1 (April 1, 2021): 112-118. https://izlik.org/JA38FC94TE.
JAMA
1.Sarıkaya MZ, Ata F. On the Generalized Hermite-Hadamard Inequalities Involving Beta Function. Konuralp J. Math. 2021;9:112–118.
MLA
Sarıkaya, Mehmet Zeki, and Fatih Ata. “On the Generalized Hermite-Hadamard Inequalities Involving Beta Function”. Konuralp Journal of Mathematics, vol. 9, no. 1, Apr. 2021, pp. 112-8, https://izlik.org/JA38FC94TE.
Vancouver
1.Mehmet Zeki Sarıkaya, Fatih Ata. On the Generalized Hermite-Hadamard Inequalities Involving Beta Function. Konuralp J. Math. [Internet]. 2021 Apr. 1;9(1):112-8. Available from: https://izlik.org/JA38FC94TE
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