On pointwise and uniform statistical convergence of order α for sequences of functions

By Muhammed Çınar, Murat Karakas, Mikail Et. 2013

91 citations recorded by the source corpus.

In this paper, we introduce the concepts of pointwise and uniform statistical convergence of order α for sequences of real-valued functions. Furthermore, we give the concept of an α-statistically Cauchy sequence for sequences of real-valued functions and prove that it is equivalent to pointwise statistical convergence of order α for sequences of real-valued functions. Also, some relations between Sα(f)-statistical convergence and strong wpβ(f)-summability are given.MSC:40A05, 40C05, 46A45.

Subfields: Applied Mathematics, Numerical Analysis, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/dd9434825b1b5c0ea48724391881b30efdffd74b

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In Applied Mathematics

1. Pratulananda Das
2. Sumit Som
3. Sanjoy Kr. Ghosal

In Numerical Analysis

1. Sumit Som
2. Sanjoy Kr. Ghosal
3. Pratulananda Das

In Statistics and Probability

1. Sumit Som
2. Sanjoy Kr. Ghosal
3. Pratulananda Das

Citations in the corpus

• Statistical convergence of order α in probability (2015, background): “ions can be found in [5]), lacunary statistical convergence of order α by Seng¨ul & Et. M [30], pointwise and uniform statistical convergence of order α for sequences of functions by Cinar et al. [3], λ-statistical convergence of order α of sequences of function by Et. M et al. [13], I-statistic”