Some extended Simpson-type inequalities and applications

On Weighted Simpson Type Inequalities and Applications

In this paper we establish some weighted Simpson type inequalities and give several applications for the r − moments and the expectation of a continuous random variable. An approximation for Euler’s Beta mapping is given as well.

Some Integral Inequalities of Simpson Type for Strongly Extended s-Convex Functions

The main purpose of this survey paper is to point out some very recent developments on Simpson’s inequality for strongly extended s-convex function. Firstly, the concept of strongly extended s-convex function is introduced. Next a new identity is also established. Finally, by this identity and Hölder’s inequality, some new Simpson type for the product of strongly extended s-convex function are ...

Some integral inequalities of Simpson type for GA-"-convex functions

We introduce a new concept “GA-"-convex function” and establish some inteNote 1: Red parts indicate major changes. Please check them carefully. gral inequalities of Simpson type for GA-"-convex functions.

Extended Hardy-littlewood Inequalities and Some Applications

We establish conditions under which the extended Hardy-Littlewood inequality ∫ RN H ( |x|, u1(x), . . . , um(x) ) dx ≤ ∫ RN H ( |x|, u1(x), . . . , um(x) ) dx, where each ui is non-negative and u ∗ i denotes its Schwarz symmetrization, holds. We also determine appropriate monotonicity assumptions on H such that equality occurs in the above inequality if and only if each ui is Schwarz symmetric....

Generalization of Some Simpson-Like Type Inequalities via Differentiable s-Convex Mappings in the Second Sense

Some Grüss Type Inequalities for Riemann-stieltjes Integral and Applications