Some Properties of Bessel I_2-Δ_θ^n-Asymptotically Statistical Equivalent Double Sequence of Order ρ ˜

Authors : Ömer Kişi, Rümeysa Akbıyık

Pages : 35-43

Doi:10.19113/sdufenbed.1625365

View : 26 | Download : 23

Publication Date : 2025-04-25

Article Type : Research Paper

Abstract :In the context of sequence spaces and summability theory, significant progress has been made in the theoretical foundations of classical concepts such as convergence and boundedness. However, the exploration of innovative convergence methods continues to emerge as a critical area of research. A notable gap in the literature is the integration of Bessel functions into these theoretical frameworks. This study aims to fill this gap by introducing the concepts of Bessel I_2-Δ_θ^n-asymptotically statistical equivalence of order ρ ˜ and strong Bessel I_2-Δ_θ^n-asymptotically equivalence of order ρ̃ for double sequences, examining the comprehensive interrelations of these concepts. The inclusion of Bessel functions in these theories not only extends the existing theoretical frameworks within mathematical analysis but also provides a solid foundation for further research and the solution of applied problems in the field. These innovative concepts contribute to a deeper understanding of sequence behavior related to Bessel functions and enhance their applicability in mathematical applications.
Keywords : Asimptotik denklik, Bessel istatistiksel yakınsaklık, Lacunary dizi