Article citationsMore>>

Anastassiou, G.A. (2012) Integral Operator Inequalities on Time Scales. International Journal of Difference Equations, 7, 111-137.

has been cited by the following article:

• TITLE: Dynamic Inequalities for Convex Functions Harmonized on Time Scales

  AUTHORS: Muhammad Jibril Shahab Sahir

  KEYWORDS: Delta, Nabla and Diamond-α Time Scales, Fractional Integral Inequalities

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.5 No.12, December 28, 2017

  ABSTRACT: We present here some general fractional Schl?milch’s type and Rogers-H?lder’s type dynamic inequalities for convex functions harmonized on time scales. First we present general fractional Schl?milch’s type dynamic inequalities and generalize it for convex functions of several variables by using Bernoulli’s inequality, generalized Jensen’s inequality and Fubini’s theorem on diamond-α calculus. To conclude our main results, we present general fractional Rogers-H?lder’s type dynamic inequalities for convex functions by using general fractional Schl?milch’s type dynamic inequality on diamond-α calculus for pi>1 with .