( p , q ) $(\mathrm{p},\mathrm{q})$ -Analysis of Montgomery identity and estimates of ( p , q ) $(\mathrm{p},\mathrm{q})$ -bounds with applications

Abstract

Abstract The main objective of this article is to establish a new post quantum version of Montgomery identity. Some estimates of associated post quantum bounds are also obtained. In order to obtain the main results of the article, we use the preinvexity property of the functions. Some special cases are also discussed in detail. Finally, we present some applications of the obtained results, which shows the significance of the discussed results.

Keywords

• Convex
• Preinvex
• Post quantum
• Bounds
• Montgomery