EXPONENTIAL POLYNOMIALS AND STRATIFICATION IN THE THEORY OF ANALYTIC INEQUALITIES-Reference-Cited by-同舟云学术

EXPONENTIAL POLYNOMIALS AND STRATIFICATION IN THE THEORY OF ANALYTIC INEQUALITIES

Published:2023-09-30 Issue:3 Volume:23 Page:659-670
ISSN:2068-3049
Container-title:Journal of Science and Arts
language:en
Short-container-title:J. Sci. Arts

Author:

MALEŠEVIĆ BRANKO¹,MIĆOVIĆ MILOŠ¹

Affiliation:

1. University of Belgrade, School of Electrical Engineering, Department of Applied Mathematics, 11000 Belgrade, Serbia

Abstract

This paper considers MEP - Mixed Exponential Polynomials as one class of real exponential polynomials. We introduce a method for proving the positivity of MEP inequalities over positive intervals using the Maclaurin series to approximate the exponential function precisely. Additionally, we discuss the relation between MEPs and stratified families of functions from [1] through two applications, referring to inequalities from papers [2] and [3].

Publisher

Valahia University of Targoviste - Journal of Science and Arts

Subject

General Earth and Planetary Sciences,General Environmental Science

Reference20 articles.

1. Malešević, B., Mihailović, B., Applicable Analysis and Discrete Mathematics, 15(2), 486, 2021.

2. Wu, Y. D., Zhang, Z. H., The Best Constant for an Inequality, Victoria University Research Repository, Collection 7(1), 2004. https://vuir.vu.edu.au/id/eprint/18041

3. Chesneau, C., Bagul, Y. J., Dhaigude, R. M., Asia Pacific Journal of Mathematics, 9(6), 1, 2022.

4. Laird, P. G., Journal of the Australian Mathematical Society, 17(3), 257, 1972.

5. Malešević, B., Makragić, M., Journal of Mathematical Inequalities, 10(3), 849, 2016.

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