Nonnegative Infinite Matrices that Preserve (p, q)-Convexity of Sequences

Nonnegative Infinite Matrices that Preserve (p, q)-Convexity of Sequences

This paper deals with matrix transformations that preserve the (p,q)-convexity of sequences. The main result gives the necessary and sufficient conditions for a nonnegative infinite matrix A to preserve the (p,q)-convexity of sequences. Further, we give examples of such matrices for different values...

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Veröffentlicht in:Abstract and Applied Analysis 2017, Vol.2017 (2017), p.1-9-027
Hauptverfasser: Selvaraj, Chikkanna R., Selvaraj, Suguna
Format: Artikel
Sprache:eng
Schlagworte:
Convex sets
Mathematical research
Matrices
Sequences (Mathematics)
Transformations (Mathematics)
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Zusammenfassung:This paper deals with matrix transformations that preserve the (p,q)-convexity of sequences. The main result gives the necessary and sufficient conditions for a nonnegative infinite matrix A to preserve the (p,q)-convexity of sequences. Further, we give examples of such matrices for different values of p and q.
ISSN:1085-3375
1687-0409
DOI:10.1155/2017/9167069