Partial Sums of Functions of Bounded Turning

Volume 4, Issue 4, 2003

Article 79

PARTIAL SUMS OF FUNCTIONS OF BOUNDED TURNING

JAY M. JAHANGIRI AND K. FARAHMAND

KENT STATE UNIVERSITY BURTON,
OHIO 44021-9500, USA.
E-Mail: jay@geauga.kent.edu

UNIVERSITY OF ULSTER,
JORDANSTOWN, BT37 0QB,
UNITED KINGDOM
E-Mail: k.farahmand@ulster.ac.uk

Received 15 July, 2002; Accepted 10 June, 2003.
Communicated by: N.E. Cho

ABSTRACT. We determine conditions under which the partial sums of the Libera integral operator of functions of bounded turning are also of bounded turning.

Key words:
Partial Sums, Bounded Turning, Libera Integral Operator.

2000 Mathematics Subject Classification:
Primary 30C45; Secondary 26D05.

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