GENERALIZATION OF CONVEX FUNCTION
By
Himanshu Tiwari and D. B. Ojha
Department of Mathematics, University of Rajasthan, Jaipur, Rajasthan, India-302004
Email: hmtiwari1997@gmail.com, maildpost@gmail.com
(Received: March 01, 2023; Informat: March 04, 2023; Revised: March 25, 2023; Accepted: April 08, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53121
Abstract
In this paper, We established a new class of convex function (φ1, φ2) − β-convex, which includes many well-known classes as its subclasses. We defined (φ1, φ2) −β-convex function and discussed various properties with non-differentiable and differentiable cases.
2010 Mathematics Subject Classification: 26B25, 90C30, 52A01, 52A40
Keywords and Phrases: Non linear programming, (φ1, φ2) − β− convex function, First order conditions, Second order conditions, φ1 - β−quasi-convex