On statistical and strong convergence with respect to a modulus function and a power series method
Cemal Belen, Mustafa Yıldırım, Canan SÜMBÜL
Abstract
This paper introduces and focuses on two pairs of concepts in two main sections. The first section aims to examine the relation between the concepts of strong Jp-convergence with respect to a modulus function f and Jp-statistical convergence, where Jp is a power series method. The second section introduces the notions of f-Jp-statistical convergence and f -strong Jp-convergence and discusses some possible relations among them.
Topics & Concepts
MathematicsConvergence (economics)Series (stratigraphy)Power seriesNormal convergenceSection (typography)Function (biology)ModulusPower functionConvergence testsApplied mathematicsFunction seriesPower (physics)Relation (database)Modulus of continuityRate of convergenceMathematical analysisComputer scienceGeometryType (biology)PhysicsBiologyOperating systemComputer networkDatabaseEconomic growthPaleontologyEcologyEconomicsEvolutionary biologyQuantum mechanicsChannel (broadcasting)Approximation Theory and Sequence SpacesIterative Methods for Nonlinear EquationsFuzzy and Soft Set Theory