Some Refinements of Discrete Jensen's Inequality and Some of Its Applications
Jamal Rooin
Abstract
Open-access reader
Jamal Rooin
Abstract
Open-access reader
In this paper, using some aspects of convex functions, we refine discrete Jensen's inequality via weight functions. Then, using these results, we give some applications in different abstract spaces and obtain some new interesting inequalities.
OpenAlex reports 8 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
In this paper, using some aspects of convex functions, we refine discrete Jensen's inequality via weight functions. Then, using these results, we give some applications in different abstract spaces and obtain some new interesting inequalities.
Key concepts: Jensen's inequality, Inequality, Mathematics, Convex function, Regular polygon, Mathematical economics, Pure mathematics, Applied mathematics