"Higher-Order Strongly-Generalized Convex Functions" by Muhammad Aslam Noor and Khalida Inayat Noor
  •  
  •  
 

Applied Mathematics & Information Sciences

Author Country (or Countries)

Pakistan.

Abstract

In this paper, we define and introduce some new concepts of the higher order strongly-generalized convex functions involving an arbitrary function. Some properties of the higher order strongly-generalized convex functions are investigated under suitable conditions. We have proved that the optimality conditions of higher order strongly generalized can be characterized by a class of variational inequalities, which is called higher-order strongly variational inequality. It is shown that the parallelogram laws for Banach spaces can be obtained as applications of higher-order strongly-generalized affine convex functions. Results obtained in this paper can be viewed as refinement and improvement of previously-known results.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140117

Plum Print visual indicator of research metrics
PlumX Metrics
  • Citations
    • Citation Indexes: 13
  • Usage
    • Downloads: 28
    • Abstract Views: 1
  • Captures
    • Readers: 1
see details

Share

COinS