In this paper we introduce the concepts of pointwise lacunary statistical convergence of order a and pointwise wpðf ; hÞ—summability of order a of sequences of real valued functions. Also some relations between pointwise ...

The idea of asymptotically equivalent sequences and asymptotic regular matrices was introduced by Marouf [ Marouf, M. Asymptotic equivalence and summability, Int. J. Math. Sci. 16(4) 755-762 (1993) ] and Patterson [ ...

The idea ofI−convergence of real sequences was introduced by Kostyrko et al. [Kostyrko, P. ; Sal´at, ˇ T. and Wilczy ´nski, W. I−convergence, Real Anal. Exchange 26(2) (2000/2001), 669-686 ] and also independently by ...