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Bernstein Operator of Rough λ-Statistically and ρ Cauchy Sequences Convergence on Triple Sequence Spaces


Affiliations
1 Department of Mathematics, Hindustan Institute of Technology and Science, Chennai - 603 103, India
2 Department of Mathematics, SASTRA University, Thanjavur-613 401, India
     

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In this article, using the concept of natural density, we introduce the notion of Bernstein polynomials of rough λ−statistically and ρ−Cauchy triple sequence spaces. We define the set of Bernstein polynomials of rough statistical limit points of a triple sequence spaces and obtain to λ−statistical convergence criteria associated with this set. We examine the relation between the set of Bernstein polynomials of rough λ−statistically and ρ−Cauchy triple sequences.

 

 


Keywords

Bernstein Polynomial, Rough Statistical Convergence, Natural Density, Triple Sequences, rλ−Statistical Convergence, ρ−Cacuhy.
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  • Bernstein Operator of Rough λ-Statistically and ρ Cauchy Sequences Convergence on Triple Sequence Spaces

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Authors

S. Velmurugan
Department of Mathematics, Hindustan Institute of Technology and Science, Chennai - 603 103, India
N. Subramanian
Department of Mathematics, SASTRA University, Thanjavur-613 401, India

Abstract


In this article, using the concept of natural density, we introduce the notion of Bernstein polynomials of rough λ−statistically and ρ−Cauchy triple sequence spaces. We define the set of Bernstein polynomials of rough statistical limit points of a triple sequence spaces and obtain to λ−statistical convergence criteria associated with this set. We examine the relation between the set of Bernstein polynomials of rough λ−statistically and ρ−Cauchy triple sequences.

 

 


Keywords


Bernstein Polynomial, Rough Statistical Convergence, Natural Density, Triple Sequences, rλ−Statistical Convergence, ρ−Cacuhy.

References