Đang chuẩn bị liên kết để tải về tài liệu:
Báo cáo toán học: "Lacunary Strongly Summable Sequences and q-Lacunary Almost Statistical Convergence"

Một chuỗi lacunary là một chuỗi ngày càng tăng θ = (kr) số nguyên dương như vậy mà k0 = 0 và kr-kr-1 → ∞ như r → ∞. Một chuỗi x = (xk) được gọi là q-lacunary gần như hội tụ thống kê để ξ cung cấp cho mỗi ε0, limr (kr-kr-1) -1 {số k: kr-1. | Vietnam Journal of Mathematics 34 2 2006 129-138 Viet n a m J o u r n a I of MATHEMATICS VAST 2006 Lacunary Strongly Summable Sequences and Ợ-Lacunary Almost Statistical Convergence Rifat Colak1 B. C. Tripathy2 and Mikail Et1 1 Department of Mathematics Firat University 23119 Elazlg-Turkey 2 Mathematical Sciences Division Institute of Advanced Study in Science and Technology Paschim Baragoan Garchuk Guwahati 781035 Assam India Received January 28 2005 Revised February 28 2006 Abstract. A lacunary sequence is an increasing sequence . of positive integers such that 0 0 and . - . _1 tta as tt A sequence is called -lacunary almost statistical convergent to provided that for each 0 lim. . - . _1 _1 the number of _ . . - 0 The purpose of this paper is to introduce the concept of - lacunary strongly almost convergence with respect to an Orlicz function and - lacunary almost statistical convergence and examine some properties of these sequence spaces. We establish some connections between -lacunary strongly almost convergence and -lacunary almost statistical convergence. It is also shown that if a sequence is -lacunary strongly almost convergent with respect to an Orlicz function then it is - lacunary almost statistical convergent. 2000 Mathematics Subject Classification 40A05 40C05 46A45. Keywords Statistical convergence lacunary sequence Orlicz function almost convergence. 1. Introduction tt tt 130 Rifat Colak B. C. Tripathy and Mikâil Et . . 1 B.TO. .B. 1. _ 0 rc . . k 0 .N .N. . X. k 1 . . A.n. .N k.k r 0 r r 1 r r - r-1. .r r -1 k r. r k.-1.r . Lacunary Sequences and Almost Statistical Convergence 131 . . . - w V .-p. 1 . o . 1 . . . .N . Remark. 1 2. .0. 1.2.1. 0 2. Main Results C . .0. . 4 . . oo _ _ m -