On the generalization some intgeral inequalities and their applications
M. Z. Sarikaya, N. Aktan

TL;DR
This paper derives a general integral identity for convex functions, establishes new inequalities of Simpson and Hermite-Hadamard types for functions with convex derivatives, and applies these results to special means of real numbers.
Contribution
Introduces a new integral identity and novel inequalities of Simpson and Hermite-Hadamard types for convex functions and their derivatives.
Findings
New integral identity for convex functions
New inequalities of Simpson and Hermite-Hadamard types
Applications to special means of real numbers
Abstract
In this paper, a general integral identity for convex functions is derived. Then, we establish new some inequalities of the Simpson and the Hermite-Hadamard's type for functions whose absolute values of derivatives are convex. Some applications for special means of real numbers are also provided.
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Taxonomy
TopicsMathematical Inequalities and Applications · Functional Equations Stability Results · Mathematical functions and polynomials
