Lacunary Almost Convergence and Some New Sequence Spaces

8th International Conference on Mathematical Analysis, Differential Equation and Applications (MADEA) -- JUN 17-23, 2018 -- Cholpon Ata, KYRGYZSTANWOS: 000496192400014In this paper we study some new sequence spaces of strongly lacunary almost summable sequences, which naturally come up for investigation and which will fill up a gap in the existing literature. Some topological results, a characterization of strongly lacunary almost regular matrices, uniqueness of generalized limits and inclusion relations of such sequences have been observed.Kyrgyz Turkish Manas Univ, Mersin Univ, NAS Ukraine, Inst Math, Taras Shevchenko Natl Univ Kyi