Estimations of the Jensen Gap and Their Applications Based on 6-Convexity

نویسندگان

چکیده

The main purpose of this manuscript is to present some new estimations the Jensen gap in a discrete sense along with their applications. proposed for are provided help notion 6-convex functions. Some numerical experiments performed determine significance and correctness intended estimates. Several outcomes results discussed Hölder inequality power quasi-arithmetic means. Furthermore, applications presented information theory, which provide bounds divergences, Bhattacharyya coefficient, Shannon entropy, Zipf–Mandelbrot entropy.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2023

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math11081957