Lacunary statistical boundedness on time scales

被引:0
作者
Bayram Sözbir
Selma Altundağ
机构
[1] Sakarya University,Department of Mathematics
来源
Advances in Difference Equations | / 2021卷
关键词
Lacunary statistical convergence; Statistical boundedness; Lacunary statistical boundedness; Time scales;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we introduce the concept of lacunary statistical boundedness of Δ-measurable real-valued functions on an arbitrary time scale. We also give the relations between statistical boundedness and lacunary statistical boundedness on time scales.
引用
收藏
相关论文
共 68 条
  • [1] Fast H.(1951)Sur la convergence statistique Colloq. Math. 2 241-244
  • [2] Steinhaus H.(1951)Sur la convergence ordinaire et la convergence asymptotique Colloq. Math. 2 73-74
  • [3] Schoenberg I.J.(1959)The integrability of certain functions and related summability methods Am. Math. Mon. 66 361-375
  • [4] Freedman A.R.(1978)Some Cesàro-type summability spaces Proc. Lond. Math. Soc. 37 508-520
  • [5] Sember J.J.(1985)On statistical convergence Analysis 5 301-313
  • [6] Raphael M.(1993)Lacunary statistical convergence Pac. J. Math. 160 43-51
  • [7] Fridy J.A.(1988)The statistical and strong p-Cesàro convergence of sequences Analysis 8 47-63
  • [8] Fridy J.A.(2000)-statistical convergence Math. Slovaca 50 111-115
  • [9] Orhan C.(2004)Statistical limits of measurable functions Analysis 24 1-18
  • [10] Connor J.S.(2017)Lacunary statistical convergence and strongly lacunary summable functions of order Filomat 31 1573-1582