Ostrowski type inequalities for $p$-convex functions

By Imdat Iscan. 2016

67 citations recorded by the source corpus.

for all x ∈ [a,b] . In the literature, the inequality ( 1) is known as Ostrowski inequality (see [ 18]), which gives an upper bound for the approximation of the integral average 1 b−a ∫ b a f (t)dt by the valuef (x) at pointx∈ [a,b]. In [3,5,6,9,10,11], the reader can find generalizations, improvements and exten sions for the inequality ( 1). For p∈ R the power meanMp(a,b) of orderp of two positive numbers a andb is defined by

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/2fc5ac710980dd0cd4735ddc2d1cf86c12162582

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. M. Kunt
2. Imdat Iscan
3. Mohamed Jleli
4. S. Özcan

In Geometry and Topology

1. M. Kunt
2. Imdat Iscan
3. S. Özcan

Citations in the corpus

• Hermite–Hadamard–Fejér Type Inequalities for p-Convex Functions via Fractional Integrals (2017, background): “Zhang and Wan (2007) gave the definition of p-convex function on I R, İşcan (2016c) gave a different definition of p-convex function on I 0;1ð Þ as follows: Definition 3 Let I 0;1ð Þ be a real interval and p 2 Rn 0f g.”