TY - JOUR
T1 - Cesàro matrix and (1, 1; r)-convex sequences
AU - Selvaraj, Chikkanna R.
AU - Selvaraj, Suguna
N1 - Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.
PY - 2021/11
Y1 - 2021/11
N2 - 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.
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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U2 - 10.1007/s11117-021-00844-3
DO - 10.1007/s11117-021-00844-3
M3 - Article
AN - SCOPUS:85108080785
SN - 1385-1292
VL - 25
SP - 1761
EP - 1770
JO - Positivity
JF - Positivity
IS - 5
ER -