WEIGHTED APPROXIMATION RESULTS FOR LUPAŞ-JAIN OPERATORS VIA SUMMABILITY METHODS

İngilizce (OpenAlex)

A central issue of the present paper is to consider the Korovkin-type approximation properties of the Lupaş-Jain operators using A-statistical convergence and Abel convergence, which are well-known summability methods.We provide an instance of a sequence of positive linear operators to which the weighted Korovkin-type theorem does not apply, but the A-statistical approximation theorem does.Our results are one-way more substantial than some approximation results given in [Başcanbaz-Tunca et al., On Lupaş-Jain Operators, Stud.