Savaş, EkremAshyralyev, ALukashov, A2020-11-212020-11-212016978-0-7354-1417-40094-243Xhttps://doi.org/10.1063/1.4959709https://hdl.handle.net/11467/38893rd International Conference on Analysis and Applied Mathematics (ICAAM) -- SEP 07-10, 2016 -- Almaty, KAZAKHSTANWOS:000383223000092This paper presents the following definition which is a natural combination of the definition for asymptotically equivalent of weight g, I -statistically limit, and lambda- statistical convergence, where g : N -> [0,.infinity) is a function satisfying g(n) -> infinity and g(n) negated right arrow infinity. The two nonnegative sequences x = (x(k)) and y = (y(k)) are said to be asymptotically I-g- statistical equivalent of weight g to multiple L provided that for every e > 0, and delta > 0, {n is an element of N: 1/g(lambda(n))vertical bar{k is an element of I-n:vertical bar x(k)/y(k)-L vertical bar >=epsilon}vertical bar >=delta}is an element of I (denoted by x <(S-lambda(L)(1)(g))under tilde>y) and simply asymptotically I-g - statistical equivalent of weight g if L = 1. In addition, we shall also present some inclusion theorems.eninfo:eu-repo/semantics/closedAccessAsymptotical equivalentIdeal convergenceI-statistical convergencelambda-statistical convergenceStatistical convergence of weight gConference Object1759N/AWOS:000383223000092N/A2-s2.0-8500060580110.1063/1.4959709