Araştırma Makalesi
BibTex RIS Kaynak Göster

Yıl 2021, Cilt: 4 Sayı: 3, 114 - 124, 30.09.2021

Uğur Selamet Kırmacı

https://doi.org/10.32323/ujma.953684
Cited By: 3

Öz

Kaynakça

  • [1] M.W. Alomari, M. Darus, U.S. Kirmaci, Refinements of Hadamard type inequalities for quasi-convex functions with applictions to trapezoidal formula and to special means, Comput. Math. Appl. 59,1 (2010) 225-232.
  • [2] M. W. Alomari, M. Darus, U. S. Kirmaci, Some inequalities of Hermite- Hadamard type for s-convex functions, Acta Math. Sci. Ser. B Eng. Ed. 31 (2011), 1643-1652.
  • [3] S.S. Dragomir, R.P. Agarwal, Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula, Appl. Math. Lett. 11 (1998) 91–95.
  • [4] S.S.Dragomir, Selected Topics on Hermite-Hadamard Inequalities and Applications, http://rgmia.vu.edu.au/SSDragomirWeb.html
  • [5] S.S. Dragomir, S.Fitzpatrick, The Hadamard’s inequality for s-convex functions in the second sense, Demonstratio Math. 32 (4) (1999) 687-696.
  • [6] S.S. Dragomir, On Simpson’s quadrature formula for Lipschitzian mappings and applications, Soochow J. Math. 25 (2) (1999) 175-180.
  • [7] S.S. Dragomir, R.P. Agarwal, P.Cerone, On Simpson’s inequality and applications, J. Ineq. Appl. 5 (6) (2000) 533-579.
  • [8] T. Du, Y. Li, Z. Yang, A generalization of simpson’s inequality via differentiable mapping using extended (s,m)-convex functions, Appl. Math. Comput. 293 (2017) 358-369.

Refinements of Hermite-Hadamard Type Inequalities for s-Convex Functions with Applications to Special Means

Yıl 2021, Cilt: 4 Sayı: 3, 114 - 124, 30.09.2021

Uğur Selamet Kırmacı

https://doi.org/10.32323/ujma.953684
Cited By: 3

Öz

In this paper, we establish some Hermite-Hadamard type inequalities for s-convex functions in the first and second sense. Some applications to special means for real numbers are also given.

Anahtar Kelimeler

Hermite-Hadamard inequality convex functions s-convex functions s-concave functions Hölder inequality

Kaynakça

  • [1] M.W. Alomari, M. Darus, U.S. Kirmaci, Refinements of Hadamard type inequalities for quasi-convex functions with applictions to trapezoidal formula and to special means, Comput. Math. Appl. 59,1 (2010) 225-232.
  • [2] M. W. Alomari, M. Darus, U. S. Kirmaci, Some inequalities of Hermite- Hadamard type for s-convex functions, Acta Math. Sci. Ser. B Eng. Ed. 31 (2011), 1643-1652.
  • [3] S.S. Dragomir, R.P. Agarwal, Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula, Appl. Math. Lett. 11 (1998) 91–95.
  • [4] S.S.Dragomir, Selected Topics on Hermite-Hadamard Inequalities and Applications, http://rgmia.vu.edu.au/SSDragomirWeb.html
  • [5] S.S. Dragomir, S.Fitzpatrick, The Hadamard’s inequality for s-convex functions in the second sense, Demonstratio Math. 32 (4) (1999) 687-696.
  • [6] S.S. Dragomir, On Simpson’s quadrature formula for Lipschitzian mappings and applications, Soochow J. Math. 25 (2) (1999) 175-180.
  • [7] S.S. Dragomir, R.P. Agarwal, P.Cerone, On Simpson’s inequality and applications, J. Ineq. Appl. 5 (6) (2000) 533-579.
  • [8] T. Du, Y. Li, Z. Yang, A generalization of simpson’s inequality via differentiable mapping using extended (s,m)-convex functions, Appl. Math. Comput. 293 (2017) 358-369.
Toplam 8 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Uğur Selamet Kırmacı

Yayımlanma Tarihi 30 Eylül 2021
Gönderilme Tarihi 17 Haziran 2021
Kabul Tarihi 1 Ekim 2021
Yayımlandığı Sayı Yıl 2021 Cilt: 4 Sayı: 3

Kaynak Göster

APA Kırmacı, U. S. (2021). Refinements of Hermite-Hadamard Type Inequalities for s-Convex Functions with Applications to Special Means. Universal Journal of Mathematics and Applications, 4(3), 114-124. https://doi.org/10.32323/ujma.953684
AMA Kırmacı US. Refinements of Hermite-Hadamard Type Inequalities for s-Convex Functions with Applications to Special Means. Univ. J. Math. Appl. Eylül 2021;4(3):114-124. doi:10.32323/ujma.953684
Chicago Kırmacı, Uğur Selamet. “Refinements of Hermite-Hadamard Type Inequalities for S-Convex Functions With Applications to Special Means”. Universal Journal of Mathematics and Applications 4, sy. 3 (Eylül 2021): 114-24. https://doi.org/10.32323/ujma.953684.
EndNote Kırmacı US (01 Eylül 2021) Refinements of Hermite-Hadamard Type Inequalities for s-Convex Functions with Applications to Special Means. Universal Journal of Mathematics and Applications 4 3 114–124.
IEEE U. S. Kırmacı, “Refinements of Hermite-Hadamard Type Inequalities for s-Convex Functions with Applications to Special Means”, Univ. J. Math. Appl., c. 4, sy. 3, ss. 114–124, 2021, doi: 10.32323/ujma.953684.
ISNAD Kırmacı, Uğur Selamet. “Refinements of Hermite-Hadamard Type Inequalities for S-Convex Functions With Applications to Special Means”. Universal Journal of Mathematics and Applications 4/3 (Eylül 2021), 114-124. https://doi.org/10.32323/ujma.953684.
JAMA Kırmacı US. Refinements of Hermite-Hadamard Type Inequalities for s-Convex Functions with Applications to Special Means. Univ. J. Math. Appl. 2021;4:114–124.
MLA Kırmacı, Uğur Selamet. “Refinements of Hermite-Hadamard Type Inequalities for S-Convex Functions With Applications to Special Means”. Universal Journal of Mathematics and Applications, c. 4, sy. 3, 2021, ss. 114-2, doi:10.32323/ujma.953684.
Vancouver Kırmacı US. Refinements of Hermite-Hadamard Type Inequalities for s-Convex Functions with Applications to Special Means. Univ. J. Math. Appl. 2021;4(3):114-2.

Cited By

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Journal of Applied Mathematics, Statistics and Informatics
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On new general inequalities for s-convex functions and their applications
Journal of Inequalities and Applications
https://doi.org/10.1186/s13660-023-02914-4
A Note on Hermite–Hadamard–Fejer Type Inequalities for Functions Whose n-th Derivatives Are m-Convex or (α,m)-Convex Functions
Axioms
https://doi.org/10.3390/axioms11010016
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