The opinion of statistical convergence is substantial in the summability theory. Later Borwein (J London Math Soc 40:628–634, 1965, [1]) introduced and studied strongly summable functions. In this paper, by taking a real-valued function that is measurable on \(\left( 1,\infty \right) \) we hold forth the concept of strongly \(\lambda \) -Summable functions defined by Orlicz functions and also some considerable results will be analyzed.

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Strongly \(\lambda \) -Summable Functions Defined by Orlicz Functions

  • Rabia Savaş

摘要

The opinion of statistical convergence is substantial in the summability theory. Later Borwein (J London Math Soc 40:628–634, 1965, [1]) introduced and studied strongly summable functions. In this paper, by taking a real-valued function that is measurable on \(\left( 1,\infty \right) \) we hold forth the concept of strongly \(\lambda \) -Summable functions defined by Orlicz functions and also some considerable results will be analyzed.