KONURALP JOURNAL OF MATHEMATICS, vol.7, no.2, pp.470-474, 2019 (International Refereed University Journal)
The aim of this paper is to provide a new approach to some well known summability methods. We first define asymptotically I-statistical
equivalent functions of order α, asymptotically Iθ -statistical equivalent functions of order α and strongly I-lacunary equivalent functions of
order α by taking two nonnegative real-valued Lebesgue measurable functions x(t) and y(t) in the interval (1,∞) instead of sequences and
later we investigate their relationship.