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Dergiler / Mathematical Sciences and Applications E-Notes / 2015 / Cilt: 3 - Sayı: 2

SOME HERMITE-HADAMARD AND SIMPSON LIKE INEQUALITIES FOR s-GEOMETRICALLY CONVEX FUNCTION

Mevlüt TUNÇ
Ebru YÜKSEL
Sayfa
1–19
Yayın Tarihi
2015-10-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In the paper, the authors establish and generalize some new integral inequalities of Hermite-Hadamard and Simpson type for functions the power of the absolute of whose first derivative is s-geometrically convex.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In the paper, the authors establish and generalize some new integral inequalities of Hermite-Hadamard and Simpson type for functions the power of the absolute of whose first derivative is s-geometrically convex.
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Temel Bulgular & Veri:In the paper, the authors establish and generalize some new integral inequalities of Hermite-Hadamard and Simpson type for functions the power of the absolute of whose first derivative is s-geometrically convex.
💡
Sonuç & Katkı:In the paper, the authors establish and generalize some new integral inequalities of Hermite-Hadamard and Simpson type for functions the power of the absolute of whose first derivative is s-geometrically convex.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Convex function · Hermite-Hadamard integral inequality · Simpson integral inequality

Abstract

In the paper, the authors establish and generalize some new integral inequalities of Hermite-Hadamard and Simpson type for functions the power of the absolute of whose first derivative is s-geometrically convex.

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Bu Makaleye Atıf Yap

TUNÇ, M., YÜKSEL, E. (2015). SOME HERMITE-HADAMARD AND SIMPSON LIKE INEQUALITIES FOR s-GEOMETRICALLY CONVEX FUNCTION. Mathematical Sciences and Applications E-Notes, Cilt: 3 - Sayı: 2, 1–19. https://ajindex.com/articles/690774

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Kaynakça (15)

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  10. Pecari´c, J. E., Proschan, F. Tong, Y. L., Convex Functions, Partial Orderings, and Statistical Applications. Academic Press Inc., 1992
  11. Sarikaya, M. Z., Set, E., Ozdemir, M.E., On new inequalities of Simpson’s type for convex ¨ functions. RGMIA Res. Rep. Coll. 13 (2) (2010) Article2
  12. Sarikaya, M. Z., Set, E., Ozdemir, M.E., On new inequalities of Simpson’s type for ¨ s-convex functions. Comp. and Math. with Appl. 60 (2010) 2191-2199
  13. Tunç, M., On some new inequalities for convex functions. Turk. J. Math. 36 (2012), 245-251
  14. Xi, B.-Y., Qi, F., Some Integral Inequalities of Hermite-Hadamard Type for Convex Functions with Applications to Means. Journal of Function Spaces and Appl., Volume 2012, Article ID 980438, 14 p., doi:10.1155/2012/980438
  15. Zhang, T.-Y., Ji, A.-P., Qi, F., On integral inequalities of Hermite-Hadamard type for sgeometrically convex function. Abstract and Applied Analysis, doi:10.1155