Ki̇şi̇, Ö.; Gümüş, H.; Savas, E. New Definitons about AI-Statistical Convergence with Respect to a Sequence of Modulus Functions and Lacunary Sequences. Axioms2018, 7, 24.
Ki̇şi̇, Ö.; Gümüş, H.; Savas, E. New Definitons about AI-Statistical Convergence with Respect to a Sequence of Modulus Functions and Lacunary Sequences. Axioms 2018, 7, 24.
Ki̇şi̇, Ö.; Gümüş, H.; Savas, E. New Definitons about AI-Statistical Convergence with Respect to a Sequence of Modulus Functions and Lacunary Sequences. Axioms2018, 7, 24.
Ki̇şi̇, Ö.; Gümüş, H.; Savas, E. New Definitons about AI-Statistical Convergence with Respect to a Sequence of Modulus Functions and Lacunary Sequences. Axioms 2018, 7, 24.
Abstract
In this paper, we generalize the concept of I-statistical convergence, which is a recently introduced summability method, with an infinite matrix of complex numbers and a modulus function. Lacunary sequences will also be included in our definitions. The name of our new method will be A^{I}-lacunary statistical convergence with respect to a sequence of modulus functions. We also define strongly A^{I}-lacunary convergence and we give some inclusion relations between these methods.
Keywords
Lacunary sequence; ideal convergence; modulus function
Subject
Computer Science and Mathematics, Analysis
Copyright:
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