esz Triple Probabilisitic of Almost Lacunary Cesàro C111 Statistical Convergence of Γ3 Defined by Musielak Orlicz Function

• Authors: N. Subramanian , A. Esi , M. Aiyub
• Languages of publication: EN

Abstracts

EN

In this paper we study the concept of almost lacunary statistical Cesa'ro of Γ3 over probabilistic p- metric spaces defined by Musielak Orlicz function. Since the study of convergence in PP-spaces is fundamental to probabilistic functional analysis, we feel that the concept of almost lacunary statistical Cesàro of Γ3 over probabilistic p- metric spaces defined by Musielak-Orlicz function in a PP-space would provide a more general framework for the subject.

Keywords

EN

Analytic sequence; Orlicz function; Riesz space; entire sequence; statistical convergence; triple sequences

Discipline

• PHYSICS: PHYSICS

• Publisher: Scientific Publishing House „DARWIN”
• Journal: World Scientific News
• Year: 2018
• Volume: 96
• Pages: 96-107

Contributors

author

N. Subramanian

• Department of Mathematics, SASTRA University, Thanjavur - 613 401, India

author

A. Esi

• Department of Mathematics, Adiyaman University, 02040, Adiyaman, Turkey

author

M. Aiyub

• Department of Mathematics, College of Science University of Bahrain, P.O.Box - 32038 Manam, Kingdom of Bahrain

References

• T. Apostol, Mathematical Analysis, Addison-Wesley, London, 1978.
• G.H. Hardy, On the convergence of certain multiple series, Proc. Camb. Phil. Soc. 19 (1917) 86-95.
• A. Esi, On some triple almost lacunary sequence spaces defined by Orlicz functions, Research and Reviews: Discrete Mathematical Structures 1(2) (2014) 16-25.
• A. Esi and M. Necdet Catalbas,Almost convergence of triple sequences. Global Journal of Mathematical Analysis, 2(1) (2014) 6-10.
• A. Esi and E. Savas, On lacunary statistically convergent triple sequences in probabilistic normed space. Appl. Math.and Inf. Sci. 9(5) (2015) 2529-2534.
• A. Esi and N. Subramanian, On some triple sequence spaces of χ³, World Scientific News 95 (2018) 159-166.
• A. Esi, N. Subramaian and A. Esi, On Triple sequence space of Bernstein operator of Rough I− convergence pre-Cauchy, Proyecciones Journal of Mathematics 36(4) (2017) 567-587.
• Deepmala, N. Subramanian and V.N. Mishra, Double almost (λ_m μ_n ) in χ^2- Riesz space, Southeast Asian Bulletin of Mathematics 35 (2016) 1-11.
• Deepmala, L.N. Mishra and N. Subramanian, Characterization of some Lacunary χ_(A_uv)^2- convergence of order α with p- metric defined by mn sequence of moduli Musielak, Appl. Math. Inf. Sci. Lett. 4(3) (2016).
• A. Sahiner, M. Gurdal and F.K. Duden, Triple sequences and their statistical convergence, Selcuk J. Appl. Math. 8(2) (2007) 49-55.
• N. Subramanian and A. Esi, Some New Semi-Normed Triple Sequence Spaces Defined By A Sequence Of Moduli, Journal of Analysis & Number Theory 3 (2) (2015) 79-88.
• T.V.G. Shri Prakash, M. Chandramouleeswaran and N. Subramanian , Lacunary Triple sequence Γ^3 of Fibonacci numbers over probabilistic p- metric spaces. International Organization of Scientific Research, Vol. 12, Issue 1, Version IV (2016) 10-16.
• H. Nakano 1953. Concave modulars, Journal of the Mathematical society of Japan, 5, 29-49.
• H. Kizmaz 1981. On certain sequence spaces, Canadian Mathematical Bulletin 24(2) 169-176.
• J. Lindenstrauss and L. Tzafriri, On Orlicz sequence spaces, Israel J. Math. 10 (1971) 379-390.
• J. Musielak, Orlicz Spaces, Lectures Notes in Math. 1034, Springer-Verlag, 1983.

• Document Type: article