Cesàro matrix and (1, 1; r)-convex sequences

Chikkanna R. Selvaraj; Suguna Selvaraj

doi:10.1007/s11117-021-00844-3

Cesàro matrix and (1, 1; r)-convex sequences

Chikkanna R. Selvaraj
, Suguna Selvaraj

Penn State Shenango

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

Abstract

This paper deals with (1, 1; r)-convexity of sequences. First, we prove several results on the sets of (1, 1; r)-convex sequences for various values of r. Then we show that the Cesàro matrix does not preserve (1, 1; r)-convexity of sequences for any r≥ 2.

Original language	English (US)
Pages (from-to)	1761-1770
Number of pages	10
Journal	Positivity
Volume	25
Issue number	5
DOIs	https://doi.org/10.1007/s11117-021-00844-3
State	Published - Nov 2021

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Analysis
General Mathematics

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10.1007/s11117-021-00844-3

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title = "Ces{\`a}ro matrix and (1, 1; r)-convex sequences",

abstract = "This paper deals with (1, 1; r)-convexity of sequences. First, we prove several results on the sets of (1, 1; r)-convex sequences for various values of r. Then we show that the Ces{\`a}ro matrix does not preserve (1, 1; r)-convexity of sequences for any r≥ 2.",

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AB - This paper deals with (1, 1; r)-convexity of sequences. First, we prove several results on the sets of (1, 1; r)-convex sequences for various values of r. Then we show that the Cesàro matrix does not preserve (1, 1; r)-convexity of sequences for any r≥ 2.

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EP - 1770

JO - Positivity

JF - Positivity

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Cesàro matrix and (1, 1; r)-convex sequences

Abstract

All Science Journal Classification (ASJC) codes

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