Applications of strongly convergent sequences to Fourier series by means of modulus functions

作者：Raj K; Sharma C

来源：Acta Mathematica Hungarica, 2016, 150(2): 396-411.

DOI：10.1007/s10474-016-0655-5

• modulus function
• paranorm space
• Lambda(2)-strongly convergence
• statistical convergence

Recently, Krus [7] studied the -strong convergence of numerical sequences. By using the idea of this paper, we introduce -strongly convergent sequence spaces defined by a sequence of modulus functions. We also make an effort to study some inclusion relations, topological and geometric properties of these spaces. Some characterizations for strong convergent sequences are given. Finally, we study statistical convergence over these spaces and problems related to Fourier series.

• 出版日期2016-12