Research Article

The Generalized Hermite-Hadamard-Fejer Type Inequalities for Generalized Fractional Integral Operators

Volume: 10 Number: 1 April 15, 2022
EN

The Generalized Hermite-Hadamard-Fejer Type Inequalities for Generalized Fractional Integral Operators

Abstract

In [11], Sarikaya and Ertuğral described a new left-sided and right-sided generalized fractional integrals. The goal of this study obtain the new Hermite-Hadamard-Fejer inequality for the this generalized fractional integrals. New results obtained from the this study are supported from previous works.

Keywords

References

  1. [1] H. Budak and Y. Bakis¸, On Fejer type inequalities for products two convex functions. Note Di Matematica, 40(1) (2020), 27-44.
  2. [2] H. Budak, On Fej´er type inequalities for convex mappings utilizing fractional integrals of a function with respect to another function. Results in Mathematics, 74(1) (2019), 29.
  3. [3] Z. Dahmani, On Minkowski and Hermite-Hadamard integral inequalities via fractional integration, Ann. Funct. Anal. 1(1) (2010), 51-58.
  4. [4] F. Ertu˘gral, M. Z. Sarikaya and H. Budak, On Refinements of Hermite-Hadamard-Fej´er Type Inequalities for Fractional Integral Operators. Applications & Applied Mathematics, 13(1) (2018).
  5. [5] L. Fej´er, Uberdie Fourierreihen, II, Math. Naturwise. Anz Ungar. Akad., Wiss, 24 (1906), 369-390, (in Hungarian).
  6. [6] J. Hadamard, ´ Etude sur les propri´et´es des fonctions enti`eres et en particulier d’une fonction consid´er´ee par Riemann, J. Math. Pures Appl., 58 (1893), 171-215.
  7. [7] ˙I.˙Is¸can, Hermite-Hadamard-Fej´er type integral inequalities for convex functions via fractional integrals, Stud. Univ. Babes-Bolyai Math. 60(2015), No. 3, 355–366.
  8. [8] M.Z. Sarikaya, On new Hermite Hadamard Fej´er type integral inequalities, Stud. Univ. Babes-Bolyai Math. 57 (3) (2012), 377–386.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

April 15, 2022

Submission Date

November 11, 2021

Acceptance Date

March 9, 2022

Published in Issue

Year 2022 Volume: 10 Number: 1

APA
Türkay, M. E., Sarıkaya, M. Z., & Yıldırım, H. (2022). The Generalized Hermite-Hadamard-Fejer Type Inequalities for Generalized Fractional Integral Operators. Konuralp Journal of Mathematics, 10(1), 79-86. https://izlik.org/JA87RT47JG
AMA
1.Türkay ME, Sarıkaya MZ, Yıldırım H. The Generalized Hermite-Hadamard-Fejer Type Inequalities for Generalized Fractional Integral Operators. Konuralp J. Math. 2022;10(1):79-86. https://izlik.org/JA87RT47JG
Chicago
Türkay, Merve Esra, Mehmet Zeki Sarıkaya, and Hüseyin Yıldırım. 2022. “The Generalized Hermite-Hadamard-Fejer Type Inequalities for Generalized Fractional Integral Operators”. Konuralp Journal of Mathematics 10 (1): 79-86. https://izlik.org/JA87RT47JG.
EndNote
Türkay ME, Sarıkaya MZ, Yıldırım H (April 1, 2022) The Generalized Hermite-Hadamard-Fejer Type Inequalities for Generalized Fractional Integral Operators. Konuralp Journal of Mathematics 10 1 79–86.
IEEE
[1]M. E. Türkay, M. Z. Sarıkaya, and H. Yıldırım, “The Generalized Hermite-Hadamard-Fejer Type Inequalities for Generalized Fractional Integral Operators”, Konuralp J. Math., vol. 10, no. 1, pp. 79–86, Apr. 2022, [Online]. Available: https://izlik.org/JA87RT47JG
ISNAD
Türkay, Merve Esra - Sarıkaya, Mehmet Zeki - Yıldırım, Hüseyin. “The Generalized Hermite-Hadamard-Fejer Type Inequalities for Generalized Fractional Integral Operators”. Konuralp Journal of Mathematics 10/1 (April 1, 2022): 79-86. https://izlik.org/JA87RT47JG.
JAMA
1.Türkay ME, Sarıkaya MZ, Yıldırım H. The Generalized Hermite-Hadamard-Fejer Type Inequalities for Generalized Fractional Integral Operators. Konuralp J. Math. 2022;10:79–86.
MLA
Türkay, Merve Esra, et al. “The Generalized Hermite-Hadamard-Fejer Type Inequalities for Generalized Fractional Integral Operators”. Konuralp Journal of Mathematics, vol. 10, no. 1, Apr. 2022, pp. 79-86, https://izlik.org/JA87RT47JG.
Vancouver
1.Merve Esra Türkay, Mehmet Zeki Sarıkaya, Hüseyin Yıldırım. The Generalized Hermite-Hadamard-Fejer Type Inequalities for Generalized Fractional Integral Operators. Konuralp J. Math. [Internet]. 2022 Apr. 1;10(1):79-86. Available from: https://izlik.org/JA87RT47JG
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