Approximation by q-analogue of Jakimovski-Leviatan operators involving q-Appell polynomials

	Approximation by q-analogue of Jakimovski-Leviatan operators involving q-Appell polynomials
Iranian Journal of Science
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 23 اسفند 1394
نوع مقاله: Regular Paper
شناسه دیجیتال (DOI): 10.22099/ijsts.2016.3632
نویسندگان
Mohamed Mursaleen^* ¹؛ Khursheed J. Ansari²؛ Md Nasiuzzaman²
¹Department of Mathematics, Aligarh Muslim University,Aligarh-202 002 India
²Aligarh Muslim University
چکیده
In the present paper, we introduce q-analogue of the Jakimovski-Leviatan operators with the help of q-Appell polynomials. We establish some moments and auxiliary results by using q-derivatives and then prove a basic convergence theorem. Also, the Voronovskaja-type asymptotic formula and some direct results for the above operators are discussed. Moreover, the rate of convergence and weighted approximation by these operators in terms of modulus of continuity are studied.
کلیدواژه‌ها
q-analogue of Jakimovski-Leviatan operators؛ modulus of continuity؛ rate of approximation؛ Voronovskaja-type theorem؛ K-functional؛ weighted spaces؛ divided differences

آمار تعداد مشاهده مقاله: 1,163