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Year 2021, Volume: 4 Issue: 3, 114 - 124, 30.09.2021

Uğur Selamet Kırmacı

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

Abstract

References

  • [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

Year 2021, Volume: 4 Issue: 3, 114 - 124, 30.09.2021

Uğur Selamet Kırmacı

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

Abstract

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.

Keywords

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

References

  • [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.
There are 8 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Uğur Selamet Kırmacı

Publication Date September 30, 2021
Submission Date June 17, 2021
Acceptance Date October 1, 2021
Published in Issue Year 2021 Volume: 4 Issue: 3

Cite

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. September 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, no. 3 (September 2021): 114-24. https://doi.org/10.32323/ujma.953684.
EndNote Kırmacı US (September 1, 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., vol. 4, no. 3, pp. 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 (September 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, vol. 4, no. 3, 2021, pp. 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.

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