Araştırma Makalesi
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Yıl 2023, Cilt: 9 Sayı: 2, 37 - 45, 31.12.2023

Öz

Kaynakça

  • 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.

INTEGRAL INEQUALITIES OF STEFFENSEN TYPE FOR SOME DIFFERENT CLASSES OF FUNCTIONS

Yıl 2023, Cilt: 9 Sayı: 2, 37 - 45, 31.12.2023

Öz

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..

Kaynakça

  • 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.
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Reel ve Kompleks Fonksiyonlar
Bölüm Makaleler
Yazarlar

Erhan Set 0000-0003-1364-5396

Emre Karaman 0000-0002-8382-4042

Barış Çelik 0000-0001-5372-7543

Ali Karaoğlan 0000-0002-8726-4716

Yayımlanma Tarihi 31 Aralık 2023
Gönderilme Tarihi 2 Kasım 2023
Kabul Tarihi 28 Aralık 2023
Yayımlandığı Sayı Yıl 2023 Cilt: 9 Sayı: 2

Kaynak Göster

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.
AMA Set E, Karaman E, Çelik B, Karaoğlan A. INTEGRAL INEQUALITIES OF STEFFENSEN TYPE FOR SOME DIFFERENT CLASSES OF FUNCTIONS. Eastern Anatolian Journal of Science. Aralık 2023;9(2):37-45.
Chicago Set, Erhan, Emre Karaman, Barış Çelik, ve Ali Karaoğlan. “INTEGRAL INEQUALITIES OF STEFFENSEN TYPE FOR SOME DIFFERENT CLASSES OF FUNCTIONS”. Eastern Anatolian Journal of Science 9, sy. 2 (Aralık 2023): 37-45.
EndNote Set E, Karaman E, Çelik B, Karaoğlan A (01 Aralık 2023) INTEGRAL INEQUALITIES OF STEFFENSEN TYPE FOR SOME DIFFERENT CLASSES OF FUNCTIONS. Eastern Anatolian Journal of Science 9 2 37–45.
IEEE E. Set, E. Karaman, B. Çelik, ve A. Karaoğlan, “INTEGRAL INEQUALITIES OF STEFFENSEN TYPE FOR SOME DIFFERENT CLASSES OF FUNCTIONS”, Eastern Anatolian Journal of Science, c. 9, sy. 2, ss. 37–45, 2023.
ISNAD Set, Erhan vd. “INTEGRAL INEQUALITIES OF STEFFENSEN TYPE FOR SOME DIFFERENT CLASSES OF FUNCTIONS”. Eastern Anatolian Journal of Science 9/2 (Aralık 2023), 37-45.
JAMA 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 vd. “INTEGRAL INEQUALITIES OF STEFFENSEN TYPE FOR SOME DIFFERENT CLASSES OF FUNCTIONS”. Eastern Anatolian Journal of Science, c. 9, sy. 2, 2023, ss. 37-45.
Vancouver 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.