Akademik Veri Yönetim Sistemi
11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013, Rhodes, Yunanistan, 21 - 27 Eylül 2013, cilt.1558, ss.782-784
A class of summability methods, called sliding window methods, for measurable real valued functions defined on [0,∞) is introduced. These methods are based on the methods of statistical convergence and lacunary statistical summability for sequences. Analogs of inclusion and consistency theorems for the sequential methods are established, along with examples, and a Cauchy criteria is given. This note introduces a class of summability methods, called sliding window methods, that can be applied to measurable functions defined on [0,∞). These methods are modeled on, but more general than, the methods of statistical convergence and lacunary statistical summability for sequences. We establish (and extend) some of the known results for sequential summability to the setting of real value functions defined on [0,∞). © 2013 AIP Publishing LLC.