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Dergiler / Eastern Anatolian Journal of Science / 2023 / Volume: 9 Issue: 2

INTEGRAL INEQUALITIES OF STEFFENSEN TYPE FOR SOME DIFFERENT CLASSES OF FUNCTIONS

Erhan Set(ORDU UNIVERSITY)0000-0003-1364-5396
Emre Karaman(ORDU ÜNİVERSİTESİ)0000-0002-8382-4042
Barış Çelik(ORDU UNIVERSITY)0000-0001-5372-7543
Ali Karaoğlan(ORDU ÜNİVERSİTESİ)0000-0002-8726-4716
Sayfa
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Yayın Tarihi
2023-12-31
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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..

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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..
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Temel Bulgular & Veri: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..
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Sonuç & Katkı: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..
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Convex function · η−convex function · P function

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..

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Bu Makaleye Atıf Yap

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, Volume: 9 Issue: 2. https://ajindex.com/articles/1475637

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Kaynakça (10)

  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.
  9. MITRINOVIC, D.S., PECARIC, J.E., FINK, A.M. (1993). Classical and new inequalities in analysis, Kluwer, Dordrecht.
  10. STEFFENSEN, J.F. (1918). On certain inequalities between mean values and their application to actuarial problems, Scandinavian Actuarial Journal, 1918(1), 82-97.