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INTEGRAL INEQUALITIES OF STEFFENSEN TYPE FOR SOME DIFFERENT CLASSES OF FUNCTIONS

Year 2023, Volume: 9 Issue: 2, 37 - 45, 31.12.2023
https://izlik.org/JA33YT76KJ

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..

References

  • ALOMARI, M.W., HUSSAIN, S., LIU, Z. (2017). Some Steffensen-type inequalities, Advances in Pure and Applied Mathematics, 8(3), 219-226.
  • DRAGOMIR, S.S., PECARIC, J., PERSON, L.E. (1995). Some inequalities of Hadamard type, Soochow J. Math., 21(3), 335-341.
  • DRAGOMIR, S.S., PEARCE, C.E.M. (2000). Selected Topics on Hermite-Hamadard Inequalities and Applications, Victoria University.
  • DELAVAR, M.R. DRAGOMIR, S.S. (2017). On η-convexity, Mathematical Inequalities and Applications, 20(1), 203-216.
  • HAYASHI, T. (1919). On curves with monotonous curvature, Têhoku Math. J., 15, 236-239.
  • GORDJI, M.E., DELAVAR, M.R., DRAGOMIR, S.S. (2015). Some inequality related to η-convex function, RGMIA 18, Art. 8., 1-14.
  • 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.
  • GORDJI, M.E., DELAVAR, M.R., DE LA SEN, M. (2016). On φ-convex functions, Journal of Mathematical Inequalities, 10(1), 173-183.
  • MITRINOVIC, D.S., PECARIC, J.E., FINK, A.M. (1993). Classical and new inequalities in analysis, Kluwer, Dordrecht.
  • STEFFENSEN, J.F. (1918). On certain inequalities between mean values and their application to actuarial problems, Scandinavian Actuarial Journal, 1918(1), 82-97.

Year 2023, Volume: 9 Issue: 2, 37 - 45, 31.12.2023
https://izlik.org/JA33YT76KJ

Abstract

References

  • ALOMARI, M.W., HUSSAIN, S., LIU, Z. (2017). Some Steffensen-type inequalities, Advances in Pure and Applied Mathematics, 8(3), 219-226.
  • DRAGOMIR, S.S., PECARIC, J., PERSON, L.E. (1995). Some inequalities of Hadamard type, Soochow J. Math., 21(3), 335-341.
  • DRAGOMIR, S.S., PEARCE, C.E.M. (2000). Selected Topics on Hermite-Hamadard Inequalities and Applications, Victoria University.
  • DELAVAR, M.R. DRAGOMIR, S.S. (2017). On η-convexity, Mathematical Inequalities and Applications, 20(1), 203-216.
  • HAYASHI, T. (1919). On curves with monotonous curvature, Têhoku Math. J., 15, 236-239.
  • GORDJI, M.E., DELAVAR, M.R., DRAGOMIR, S.S. (2015). Some inequality related to η-convex function, RGMIA 18, Art. 8., 1-14.
  • 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.
  • GORDJI, M.E., DELAVAR, M.R., DE LA SEN, M. (2016). On φ-convex functions, Journal of Mathematical Inequalities, 10(1), 173-183.
  • MITRINOVIC, D.S., PECARIC, J.E., FINK, A.M. (1993). Classical and new inequalities in analysis, Kluwer, Dordrecht.
  • STEFFENSEN, J.F. (1918). On certain inequalities between mean values and their application to actuarial problems, Scandinavian Actuarial Journal, 1918(1), 82-97.
There are 10 citations in total.

Details

Primary Language English
Subjects Real and Complex Functions (Incl. Several Variables)
Journal Section Research Article
Authors

Erhan Set 0000-0003-1364-5396

Emre Karaman 0000-0002-8382-4042

Barış Çelik 0000-0001-5372-7543

Ali Karaoğlan 0000-0002-8726-4716

Submission Date November 2, 2023
Acceptance Date December 28, 2023
Publication Date December 31, 2023
IZ https://izlik.org/JA33YT76KJ
Published in Issue Year 2023 Volume: 9 Issue: 2

Cite

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.Set E, Karaman E, Çelik B, Karaoğlan A. 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