Research Article

New Refinements of Hadamard Integral inequlaity via k-Fractional Integrals for p-Convex Function

Volume: 6 Number: 1 April 30, 2021
EN

New Refinements of Hadamard Integral inequlaity via k-Fractional Integrals for p-Convex Function

Abstract

In this study, we use k-fractional integrals to establish some new integral inequalities for p- convex function. These integral inequalities includes some new estimations for Hadamard inequality via k-fractional integrals.

Keywords

References

  1. Belarbi S, Dahmani Z. On some new fractional integral inequalities, J. Ineq. Pure & Appl. Math., 10(3) (2009), Art. 86.
  2. Budak H, Usta F, Sar¨kaya MZ, ÷zdemir ME. On generalization of midpoint type inequalities with generalized fractional integral operators, RACSAM, https://doi.org/10.1007/s13398- 018-0514-z
  3. Dahmani Z. New inequalities in fractional integrals, International Journal of Nonlinear Science, 9(4) (2010), 493-497.
  4. Dahmani Z, On Minkowski and Hermite-Hadamard integral inequalities via fractional integration, Ann. Funct. Anal 6 M. E. ÷ZDEM IR
  5. Dahmani Z, Tabharit L, Taf S. Some fractional integral inequalities, Nonl. Sci. Lett. A., 1(2) (2010), 155-160.
  6. Dahmani Z, Tabharit L, Taf S. New generalizations of Gruss inequality using RiemannLiouville fractional integrals, Bull. Math. Anal. Appl., 2(3) (2010), 93-99.
  7. Dragomir SS, Pearce CEM. Selected Topics on Hermite-Hadamard Inequalities and Applications, RGMIA Monographs, Victoria University,2000. ONLINE: http://rgmia. vu. edu.au/monographs.
  8. Gorenáo R, F. Mainardi F. Essentials of fractional calculus, (2000).

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

April 30, 2021

Submission Date

January 6, 2021

Acceptance Date

March 17, 2021

Published in Issue

Year 2021 Volume: 6 Number: 1

APA
Özdemir, M. E. (2021). New Refinements of Hadamard Integral inequlaity via k-Fractional Integrals for p-Convex Function. Turkish Journal of Science, 6(1), 1-5. https://izlik.org/JA52BP36ZD
AMA
1.Özdemir ME. New Refinements of Hadamard Integral inequlaity via k-Fractional Integrals for p-Convex Function. TJOS. 2021;6(1):1-5. https://izlik.org/JA52BP36ZD
Chicago
Özdemir, Muhamet Emin. 2021. “New Refinements of Hadamard Integral Inequlaity via K-Fractional Integrals for P-Convex Function”. Turkish Journal of Science 6 (1): 1-5. https://izlik.org/JA52BP36ZD.
EndNote
Özdemir ME (April 1, 2021) New Refinements of Hadamard Integral inequlaity via k-Fractional Integrals for p-Convex Function. Turkish Journal of Science 6 1 1–5.
IEEE
[1]M. E. Özdemir, “New Refinements of Hadamard Integral inequlaity via k-Fractional Integrals for p-Convex Function”, TJOS, vol. 6, no. 1, pp. 1–5, Apr. 2021, [Online]. Available: https://izlik.org/JA52BP36ZD
ISNAD
Özdemir, Muhamet Emin. “New Refinements of Hadamard Integral Inequlaity via K-Fractional Integrals for P-Convex Function”. Turkish Journal of Science 6/1 (April 1, 2021): 1-5. https://izlik.org/JA52BP36ZD.
JAMA
1.Özdemir ME. New Refinements of Hadamard Integral inequlaity via k-Fractional Integrals for p-Convex Function. TJOS. 2021;6:1–5.
MLA
Özdemir, Muhamet Emin. “New Refinements of Hadamard Integral Inequlaity via K-Fractional Integrals for P-Convex Function”. Turkish Journal of Science, vol. 6, no. 1, Apr. 2021, pp. 1-5, https://izlik.org/JA52BP36ZD.
Vancouver
1.Muhamet Emin Özdemir. New Refinements of Hadamard Integral inequlaity via k-Fractional Integrals for p-Convex Function. TJOS [Internet]. 2021 Apr. 1;6(1):1-5. Available from: https://izlik.org/JA52BP36ZD