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Dergiler / Sigma Mühendislik ve Fen Bilimleri Dergisi / 2017 / Cilt: 35 - Sayı: 3

SOME NEW INTEGRAL INEQUALITIES FOR n- TIMES DIFFERENTIABLE QUASI-CONVEX FUNCTIONS

İmdat İŞCAN
Huriye KADAKAL
Mahir KADAKAL
Sayfa
363–368
Yayın Tarihi
2017-09-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Using this inequalities, we obtain some new inequalities connected with means.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this work, by using an integral identity together with both the Hölder and the Power-Mean integral inequality we establish several new inequalities for n-time differentiable quasi-convex functions.
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Temel Bulgular & Veri:In this work, by using an integral identity together with both the Hölder and the Power-Mean integral inequality we establish several new inequalities for n-time differentiable quasi-convex functions.
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Sonuç & Katkı:Using this inequalities, we obtain some new inequalities connected with means.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Convex function · quasi-convex function · Hölder Integral inequality and Power-Mean Integral inequality

Abstract

In this work, by using an integral identity together with both the Hölder and the Power-Mean integral inequality we establish several new inequalities for n-time differentiable quasi-convex functions. Using this inequalities, we obtain some new inequalities connected with means.

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Bu Makaleye Atıf Yap

İŞCAN, İ., KADAKAL, H., KADAKAL, M. (2017). SOME NEW INTEGRAL INEQUALITIES FOR n- TIMES DIFFERENTIABLE QUASI-CONVEX FUNCTIONS. Sigma Mühendislik ve Fen Bilimleri Dergisi, Cilt: 35 - Sayı: 3, 363–368. https://ajindex.com/articles/419234

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Kaynakça (8)

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  6. S. Hussain, S. Qaisar, “New Integral Inequalities of the Type of Hermite-Hadamard Through Quasi Convexity”, Punjab University, Journal of Mathematics (ISSN 1016-2526), Vol. 45 (2013), pp 33-38. D. A. Ion, “Some estimates on the Hermite-Hadamard inequality through quasi-convex functions”, Annals of University of Craiova, Math. Comp. Sci. Ser. Volume 34, 2007, Pages 82–87. İ. İşcan and S. Turhan, “Generalized Hermite-Hadamard-Fejer type inequalities for GA-convex functions via Fractional integral”, Moroccan J. Pure and Appl. Anal.(MJPAA), Volume 2(1) (2016), 34-46. İ. İşcan, “Hermite-Hadamard type inequalities for harmonically convex functions”, Hacettepe Journal of Mathematics and Statistics, Volume 43 (6) (2014), 935–942.
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  8. S. Maden, H. Kadakal, M. Kadakal and İ. İşcan, “Some new integral inequalities for n-times differentiable convex and concave functions”. Availab