Wendroff type integro-sum inequalities and applications

Some extended Simpson-type inequalities and applications

‎In this paper‎, ‎we shall establish some extended Simpson-type inequalities‎ ‎for differentiable convex functions and differentiable concave functions‎ ‎which are connected with Hermite-Hadamard inequality‎. ‎Some error estimates‎ ‎for the midpoint‎, ‎trapezoidal and Simpson formula are also given‎.

Singular fractional integro-differential inequalities and applications

* Correspondence: [email protected] Department of Mathematical Sciences, Princess Nora Bint Abdulrahman University, Riyadh 84428, Saudi Arabia Full list of author information is available at the end of the article Abstract In this article, fractional integro-differential inequalities with singular coefficients have been considered. The bounds obtained for investigating the behavior of the ...

Some New Nonlinear Weakly Singular Integral Inequalities of Wendroff Type with Applications

New Jensen and Ostrowski Type Inequalities for General Lebesgue Integral with Applications

Some new inequalities related to Jensen and Ostrowski inequalities for general Lebesgue integral are obtained. Applications for $f$-divergence measure are provided as well.

New discrete Halanay-type inequalities and applications

In this paper, we introduce some new discrete type Halanay inequalities which extend the existing results. On the basis of these inequalities, we discuss the global stability of discrete neural networks with time-varying delays. © 2012 Elsevier Ltd. All rights reserved.