Some Landau–Kolmogorov Type Inequalities for Differential Operators Generated by Polynomials-Reference-Cited by-同舟云学术

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Some Landau–Kolmogorov Type Inequalities for Differential Operators Generated by Polynomials

Published:2021-06-29 Issue:2 Volume:58 Page:246-262
ISSN:0081-6906
Container-title:Studia Scientiarum Mathematicarum Hungarica
language:
Short-container-title:SScMath

Author:

Huy Vu Nhat¹²,Huy Nguyen Ngoc³,Tiep Chu Van⁴

Affiliation:

1. 1Department of Mathematics, Hanoi University of Science, Vietnam National University 334 Nguyen Trai, Thanh Xuan, Hanoi, Vietnam

2. 2Thang Long Institute of Mathematics and Applied Sciences, Thang Long University

3. 3Department of Mathematics, Thuyloi University 175 Tay Son, Dong Da, Hanoi, Vietnam

4. 4Department of Mathematics, The University of Danang - University of Science and Education 459 Ton Duc Thang, Danang, Vietnam

Abstract

In this paper, we establish some Landau–Kolmogorov type inequalities for differential operators generated by polynomials in the following formfor all , where 0 < g ≤ p ≤ ∞, and the differential operator P (D) is obtained from the polynomial P (x) by substituting . Moreover, the explicit form of and are given.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Link

https://akjournals.com/downloadpdf/journals/012/58/2/article-p246.xml

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