IΔ and IΔ∗ -convergence on time scales

Prasanta Malik; Argha Ghosh; Manojit Maity

doi:10.1007/s41478-020-00238-w

I_Δ and IΔ∗ -convergence on time scales

Prasanta Malik^*
, Argha Ghosh
, Manojit Maity

^*Corresponding author for this work

Department of Mathematics, Manipal Institute of Technology, Manipal

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In this paper, we introduce the concept of Δ -weak ideal on a time scale T and using it we introduce and study the notions of I_Δ-convergence and IΔ∗-convergence of a Δ -measurable real-valued function f defined on T. The notion of I_Δ-convergence generalizes the notion of statistical convergence of a Δ -measurable real-valued function f defined on a time scale T.

Original language	English
Pages (from-to)	1097-1106
Number of pages	10
Journal	Journal of Analysis
Volume	28
Issue number	4
DOIs	https://doi.org/10.1007/s41478-020-00238-w
Publication status	Published - 12-2020

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Analysis
Applied Mathematics
Geometry and Topology

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10.1007/s41478-020-00238-w

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abstract = "In this paper, we introduce the concept of Δ -weak ideal on a time scale T and using it we introduce and study the notions of IΔ-convergence and IΔ∗-convergence of a Δ -measurable real-valued function f defined on T. The notion of IΔ-convergence generalizes the notion of statistical convergence of a Δ -measurable real-valued function f defined on a time scale T.",

author = "Prasanta Malik and Argha Ghosh and Manojit Maity",

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AU - Ghosh, Argha

AU - Maity, Manojit

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N2 - In this paper, we introduce the concept of Δ -weak ideal on a time scale T and using it we introduce and study the notions of IΔ-convergence and IΔ∗-convergence of a Δ -measurable real-valued function f defined on T. The notion of IΔ-convergence generalizes the notion of statistical convergence of a Δ -measurable real-valued function f defined on a time scale T.

AB - In this paper, we introduce the concept of Δ -weak ideal on a time scale T and using it we introduce and study the notions of IΔ-convergence and IΔ∗-convergence of a Δ -measurable real-valued function f defined on T. The notion of IΔ-convergence generalizes the notion of statistical convergence of a Δ -measurable real-valued function f defined on a time scale T.

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JF - Journal of Analysis

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ER -

I_Δ and IΔ∗ -convergence on time scales

Abstract

All Science Journal Classification (ASJC) codes

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