Journals / Universal Journal of Mathematics and Applications / 2021 / Cilt: 4 - Sayı: 3

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

Pages
114–124
Publication Date
2021-09-30
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Some applications to special means for real numbers are also given.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we establish some Hermite-Hadamard type inequalities for s-convex functions in the first and second sense.
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Key Findings & Data:In this paper, we establish some Hermite-Hadamard type inequalities for s-convex functions in the first and second sense.
💡
Conclusion & Impact:Some applications to special means for real numbers are also given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Hermite-Hadamard inequality · convex functions · s-convex functions

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.

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Cite This Article

KIRMACI, U. S. (2021). Refinements of Hermite-Hadamard Type Inequalities for s-Convex Functions with Applications to Special Means. Universal Journal of Mathematics and Applications, Cilt: 4 - Sayı: 3, 114–124. https://ajindex.com/articles/819916

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References (8)

  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,
  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.