과제정보
The author deeply appreciates the suggestions of the reviewers and the editor that improved the presentation of the paper.
참고문헌
- P. Baliarsingh, Some new difference sequence spaces of fractional order and their dual spaces, Appl. Math. Comput. 219 (2013), 9737-9742. https://doi.org/10.1016/j.amc.2013.03.073
- P. Baliarsingh and S. Dutta, A unifying approach to the difference operators and their applications, Bol. Soc. Parana. Mat. 33 (2015), 49-57. https://doi.org/10.5269/bspm.v33i1.19884
- P. Baliarsingh, U. Kadak and M. Mursaleen, On statistical convergence of difference sequences of fractional order and related Korovkin type approximation theorems, Quaest. Math. 41 (2018), 1117-1133. https://doi.org/10.2989/16073606.2017.1420705
- A. Esi and N. Subramanian, Generalized Rough Cesaro and Lacunary Statistical Triple Difference Sequence Spaces in Probability of Fractional Order Defined by Musielak-Orlicz Function, Int. J. Anal. Appl. 16 (2018), 16-24.
- A. Esi, B. Hazarika and A. Esi, New type of Lacunary Orlicz Difference Sequence Spaces Generated by Infinite Matrices, Filomat 30 (2016), 3195-3208. https://doi.org/10.2298/FIL1612195E
- K.G. Grosse-Erdmann, Matrix transformations between the sequence spaces of Maddox, J. Math. Anal. Appl. 180 (1993), 223-238. https://doi.org/10.1006/jmaa.1993.1398
- B. Hazarika and A. Esi, On ideal convergent interval valued generalized difference classes defined by Orlicz function, J. Interdiscip. Math. 19 (2016), 37-53. https://doi.org/10.1080/09720502.2014.914276
- B. Hazarika, A. Esi, A. Esi and K. Tamang, Orlicz difference sequence spaces generated by infinite matrices and de la Vallee-Poussin mean of order α, J. Egyptian Math. Soc. 24 (2016), 545-554. https://doi.org/10.1016/j.joems.2015.12.004
- M. Krisci and U. Kadak, The method of almost convergence with operator of the form fractional order and applications, J. Nonlinear Sci. Appl., 10 (2017), 828-842. https://doi.org/10.22436/jnsa.010.02.42
- E.E. Kara, Some topological and geometric properties of new Banach sequence spaces, J. Inequal. Appl. 2013 (2013), 1-15. https://doi.org/10.1186/1029-242X-2013-1
- E.E. Kara, M. Ozturk and M. Basarir, Some topological and geometric properties of generalized Euler sequence space, Math. Slovaca 60 (2010), 385-398. https://doi.org/10.2478/s12175-010-0019-5
- V. Karakaya, E. Savas and H. Polat, Some paranormed Euler sequence space of difference sequences of order m, Math. Slovaca 63 (2013), 849-862. https://doi.org/10.2478/s12175-013-0139-9
- C.G. Lascarides and I.J. Maddox, Matrix transformations between some classes of sequences, Proc. Camb. Phil. Soc. 68 (1970), 99-104. https://doi.org/10.1017/S0305004100001109
- I.J. Maddox, Space of strongly summable sequences, Quart. J. Math. 18 (1967), 345-355. https://doi.org/10.1093/qmath/18.1.345
- M. Mursaleen and A.K. Noman, On the spaces of λ-convergent and bounded sequences, Thai J. Math. 8 (2010), 311-329.
- M. Mursaleen and A.K. Noman, On some new sequence spaces of non-absolute type related to the spaces ℓp and ℓ∞ I, Filomat 25 (2011), 33-51. https://doi.org/10.2298/FIL1102033M
- L. Nayak, M. Et and P. Baliarsingh, On certain generalized weighted mean fractional difference sequence spaces, Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 89 (2019), 163-170. https://doi.org/10.1007/s40010-017-0403-4
- H. Polat and F. Basar, Some Euler spaces of difference sequences of order m, Acta Math. Sci. 27 (2007), 254-266. https://doi.org/10.1016/S0252-9602(07)60024-1
- K. Raj and R. Anand, Double difference spaces of almost null and almost convergent sequences for Orlicz function, J. Comput. Anal. Appl. 24 (2018), 773-783.
- K. Raj, A. Choudhary and C. Sharma, Almost strongly Orlicz double sequence spaces of regular matrices and their applications to statistical convergence, Asian-Eur. J. Math. 11 (2018), 1850073. https://doi.org/10.1142/s1793557118500730
- K. Raj and C. Sharma, Applications of strongly convergent sequences to Fourier series by means of modulus functions, Acta Math. Hungar. 150 (2016), 396-411. https://doi.org/10.1007/s10474-016-0655-5
- K. Raj, K. Saini and A. Choudhary, Orlicz lacunary sequence spaces of l-fractional difference operators, J. Appl. Anal. 26 (2020), 173-183. https://doi.org/10.1515/jaa-2020-2018
- K. Raj, C. Sharma and A. Choudhary, Applications of Tauberian theorem in Orlicz spaces of double difference sequences of fuzzy numbers, J. Intell. Fuzzy Systems 35 (2018), 2513-2524. https://doi.org/10.3233/JIFS-18195
- B.C. Tripathy and R. Goswami, On Triple difference sequences of real numbers in probalistic normed spaces, Proyecciones (Antofagasta) 33 (2014), 157-174. https://doi.org/10.4067/S0716-09172014000200003
- A. Wilansky, Summability through functional analysis, North-Holland Mathematical Studies. 85 (1984).