Research Article

INTEGRAL INEQUALITIES OF STEFFENSEN TYPE FOR SOME DIFFERENT CLASSES OF FUNCTIONS

Volume: 9 Number: 2 December 31, 2023
EN

INTEGRAL INEQUALITIES OF STEFFENSEN TYPE FOR SOME DIFFERENT CLASSES OF FUNCTIONS

Abstract

In this paper, we have obtained some new integral inequalities of Steffensen type for P-function and η-convex function with the help of identities proved by Mitrinovic et al..

Keywords

References

  1. ALOMARI, M.W., HUSSAIN, S., LIU, Z. (2017). Some Steffensen-type inequalities, Advances in Pure and Applied Mathematics, 8(3), 219-226.
  2. DRAGOMIR, S.S., PECARIC, J., PERSON, L.E. (1995). Some inequalities of Hadamard type, Soochow J. Math., 21(3), 335-341.
  3. DRAGOMIR, S.S., PEARCE, C.E.M. (2000). Selected Topics on Hermite-Hamadard Inequalities and Applications, Victoria University.
  4. DELAVAR, M.R. DRAGOMIR, S.S. (2017). On η-convexity, Mathematical Inequalities and Applications, 20(1), 203-216.
  5. HAYASHI, T. (1919). On curves with monotonous curvature, Têhoku Math. J., 15, 236-239.
  6. GORDJI, M.E., DELAVAR, M.R., DRAGOMIR, S.S. (2015). Some inequality related to η-convex function, RGMIA 18, Art. 8., 1-14.
  7. GORDJI, M.E., DRAGOMIR, S.S., DELAVAR, M.R. (2015). An inequality related to η-convex functions (II), Int. J. Nonlinear Anal. Appl., 6(2), 27-33.
  8. GORDJI, M.E., DELAVAR, M.R., DE LA SEN, M. (2016). On φ-convex functions, Journal of Mathematical Inequalities, 10(1), 173-183.

Details

Primary Language

English

Subjects

Real and Complex Functions (Incl. Several Variables)

Journal Section

Research Article

Publication Date

December 31, 2023

Submission Date

November 2, 2023

Acceptance Date

December 28, 2023

Published in Issue

Year 2023 Volume: 9 Number: 2

APA
Set, E., Karaman, E., Çelik, B., & Karaoğlan, A. (2023). INTEGRAL INEQUALITIES OF STEFFENSEN TYPE FOR SOME DIFFERENT CLASSES OF FUNCTIONS. Eastern Anatolian Journal of Science, 9(2), 37-45. https://izlik.org/JA33YT76KJ
AMA
1.Set E, Karaman E, Çelik B, Karaoğlan A. INTEGRAL INEQUALITIES OF STEFFENSEN TYPE FOR SOME DIFFERENT CLASSES OF FUNCTIONS. Eastern Anatolian Journal of Science. 2023;9(2):37-45. https://izlik.org/JA33YT76KJ
Chicago
Set, Erhan, Emre Karaman, Barış Çelik, and Ali Karaoğlan. 2023. “INTEGRAL INEQUALITIES OF STEFFENSEN TYPE FOR SOME DIFFERENT CLASSES OF FUNCTIONS”. Eastern Anatolian Journal of Science 9 (2): 37-45. https://izlik.org/JA33YT76KJ.
EndNote
Set E, Karaman E, Çelik B, Karaoğlan A (December 1, 2023) INTEGRAL INEQUALITIES OF STEFFENSEN TYPE FOR SOME DIFFERENT CLASSES OF FUNCTIONS. Eastern Anatolian Journal of Science 9 2 37–45.
IEEE
[1]E. Set, E. Karaman, B. Çelik, and A. Karaoğlan, “INTEGRAL INEQUALITIES OF STEFFENSEN TYPE FOR SOME DIFFERENT CLASSES OF FUNCTIONS”, Eastern Anatolian Journal of Science, vol. 9, no. 2, pp. 37–45, Dec. 2023, [Online]. Available: https://izlik.org/JA33YT76KJ
ISNAD
Set, Erhan - Karaman, Emre - Çelik, Barış - Karaoğlan, Ali. “INTEGRAL INEQUALITIES OF STEFFENSEN TYPE FOR SOME DIFFERENT CLASSES OF FUNCTIONS”. Eastern Anatolian Journal of Science 9/2 (December 1, 2023): 37-45. https://izlik.org/JA33YT76KJ.
JAMA
1.Set E, Karaman E, Çelik B, Karaoğlan A. INTEGRAL INEQUALITIES OF STEFFENSEN TYPE FOR SOME DIFFERENT CLASSES OF FUNCTIONS. Eastern Anatolian Journal of Science. 2023;9:37–45.
MLA
Set, Erhan, et al. “INTEGRAL INEQUALITIES OF STEFFENSEN TYPE FOR SOME DIFFERENT CLASSES OF FUNCTIONS”. Eastern Anatolian Journal of Science, vol. 9, no. 2, Dec. 2023, pp. 37-45, https://izlik.org/JA33YT76KJ.
Vancouver
1.Erhan Set, Emre Karaman, Barış Çelik, Ali Karaoğlan. INTEGRAL INEQUALITIES OF STEFFENSEN TYPE FOR SOME DIFFERENT CLASSES OF FUNCTIONS. Eastern Anatolian Journal of Science [Internet]. 2023 Dec. 1;9(2):37-45. Available from: https://izlik.org/JA33YT76KJ