Multiplier sequence spaces of fuzzy numbers defined by a Musielak-Orlicz function

• Autorzy: Raj K. , Gupta A.
• Języki publikacji: EN

Abstrakty

EN

In this paper we introduce some multiplier sequence spaces of fuzzy number by using a Musielak-Orlicz function ℳ = (M_k) and multiplier function u = (u_k) and prove some inclusion relations between the resulting sequences spaces.

Słowa kluczowe

EN

fuzzy numbers; Musielak-Orlicz function; de la Vallee-Poussin means; statistical convergence; multiplier function

PL

analiza funkcjonalna; liczby rozmyte; funkcja Musielaka-Orlicza; zbieżność statystyczna

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2012
• Tom: Vol. 35
• Strony: 69--81
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Raj K.

• School of Mathematics, Shri Mata Vaishno Devi University, Katra-182320 J & K, India

autor

Gupta A.

• School of Mathematics, Shri Mata Vaishno Devi University, Katra-182320 J & K, India

Bibliografia

• [1] M. Basarir, S. Altuntag and M. Kayikci, On some generalized sequence spaces of fuzzy numbers defined by a sequence of Orlicz functions, Rendiconti del Circolo Matematico di Palermo, 59 (2010), 277-287.
• [2] M. Basarir and M. Mursaleen, Some sequence spaces of fuzzy numbers generated by infinite matrices, J. fuzzy Math, 11 (2003), 757-764.
• [3] R. C. Buck, Generalizes Asymptote Density, Amer J. of Math, 75 (1953), 335-346.
• [4] J. S. Connor, The statistical and strong P-Cesaro convergence of sequences, Analysis, 8 (1988), 47-63.
• [5] J. S. Connor, J. A. Fridy and J. Kline, Statistically Pre-Cauchy Sequences, Analysis, 14 (1994), 311-317.
• [6] H. Fast, Sur la convergence statistiue, Colloq. Math, 2 (1951), 241-244.
• [7] J. A. Fridy, On statistical convergence, Analysis, 5 (1985), 301-313.
• [8] M. A. Krasnoselskii and Y. B. Rutickii, Convex functions and Orlicz spaces, Groningen, Netherlands, (1961).
• [9] K. Lindberg, On subspace of Orlicz sequence spaces, Studia Math. 45 (1973), 379-390.
• [10] J. Lindenstrauss and L. Tzafriri, On Orlicz sequence spaces, Israel J. Math. 10 (1971), 379-390.
• [11] I. J. Maddox, A new type of convergence, Math. Proc. Camb. Phil.Soc., 83 (19878), 61-64.
• [12] M. Matloka, Sequences of fuzzy numbers, BUSEFAL, 28 (1986), 28-37.
• [13] L. Maligranda, Orlicz spaces and interpolation, Seminars in Mathematics 5, Polish Academy of Science, 1989.
• [14] J. Musielak, Orlicz spaces and modular spaces, Lecture Notes in Mathematics, 1034 (1983).
• [15] S Nanda, On sequences of fuzzy numbers, fuzzy sets and Systems, 33 (1989), 123-126.
• [16] S. D. Parashar and B. Choudhary, Sequence spaces defined by Orlicz functions, Indian J. Pure Appl. Math., 25 (1994), 419-428.
• [17] K. Raj, A.K.Sharma and S. K. Sharma, A sequence space defined by Musielak-Orlicz functions, Int. Journal of Pure and Appl. Mathematics, 37 (2011), 475-484.
• [18] I. J. Schoenberg, The integrability of certain functions and relatedr summability methods, Amer. Math. Monthly, 66 (1959), 361-375.
• [19] B.C. Tripathy and S. Mahanta, On a class of sequences related to the lp spaces defined by Orlicz function, Soochow J. Math., 29 (2003), 379-391.
• [20] L. A. Zadeh, Fuzzy sets, Information and control, 8 (1965), 338-353.