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Dergiler / New Trends in Mathematical Sciences / 2026 / Cilt: 4 Sayı: 3

On new general integral inequalities for h-convex function

İmdat Iscan(Giresun University)
Mustafa Aydin(Giresun University)
Sayfa
73–87
Yayın Tarihi
2016-09-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in absolute value at certain power are -convex and -concave by using power mean inequality, Hölder inequality and some other integral inequalities.
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Temel Bulgular & Veri:In this paper, we derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in absolute value at certain power are -convex and -concave by using power mean inequality, Hölder inequality and some other integral inequalities.
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Sonuç & Katkı:Some applications to special means of real numbers are also given.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:h-convex function · h-concave function · Simpson’s inequality

Abstract

In this paper, we derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in absolute value at certain power are -convex and -concave by using power mean inequality, Hölder inequality and some other integral inequalities. Some applications to special means of real numbers are also given.

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Bu Makaleye Atıf Yap

Iscan, İ., Aydin, M. (2016). On new general integral inequalities for h-convex function. New Trends in Mathematical Sciences, Cilt: 4 Sayı: 3, 73–87. https://ajindex.com/articles/1657726

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Kaynakça (16)

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