New Prospective of the Equiconvergence Theorem

Authors

M. B. Tahir, Department of Mathematics and Sciences, College of Humanities and Sciences, Ajman University, UAEFollow
AbdulKareem A. Yaseen, Department of Mathematics and Sciences, College of Humanities and Sciences, Ajman University, UAEFollow

Author Country (or Countries)

UAE

Abstract

We prove a general form of the equiconvergence theorem using the method of V. A. Il’n. Horva ́th, Joo ́ and Komornik which provides a general theorem for the one dimensional Schro ̈ dinger operator. We prove that the theorem for certain situation is more general than the previous theorem. In particular, we write down the difference of the trigonometric kernel of the general expansion and estimate the resulting infinite sums. For the terms of these sums we used different and sharper estimates than in the previous investigations.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140315

Recommended Citation

B. Tahir, M. and A. Yaseen, AbdulKareem (2020) "New Prospective of the Equiconvergence Theorem," Applied Mathematics & Information Sciences: Vol. 14: Iss. 3, Article 15.
DOI: http://dx.doi.org/10.18576/amis/140315
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss3/15