Lacunary p-absolutely summable sequences of fuzzy real numbers

• Autorzy: Dutta A J
• Języki publikacji: EN

Abstrakty

EN

In this paper we have introduced the sequence space (l_p)^F₀. We have established a relation between (l_p)^F₀ and Ces(p). We have studied some algebraic properties like solidness, symmetricness, convergence free and provided some inclusion results.

Słowa kluczowe

EN

lacunary sequence; p-absolutely summable; solid; symmetric; convergence free; sequence algebra etc

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2011
• Tom: Nr 46
• Strony: 57--64
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Dutta A J

• Mathematical Sciences Division Institute of Advanced Study in Science and Technology Paschim Baragaon Garchuk, Guwahati-781035, India

Bibliografia

• [1] Altin Y., Et M., Colak R.,Lacunary statistical and lacunary strongly convergence of generalized dierence sequences of fuzzy numbers, Computers and Math. Appl., 52(2006), 1011-1020.
• [2] Altinok, H., Altin Y., Et M., Lacunary almost statistical convergence of fuzzy numbers, Thai J. Math., 2(2)(2004), 265-274.
• [3] Karakaya V., Some geometric properties of sequence spaces involving some lacunary sequences, Jour. of Inequalities and Appl., 8(2007), ID-81028.
• [4] Li J., Lacunary statistical convergence and inclusion properties between lacunary methods, Internat Jour. of Math.& Math. Sci., 23(3)(2000), 175-180.
• [5] Savas E., Karakaya V., Some new sequence spaces defined by lacunary sequences, Math. Slovaca, 57(4)(2007), 393-399.
• [6] Tripathy B.C., Dutta A.J., On fuzzy real-valued double sequence space 2lPF Mathematical and Computer Modelling, 46(2007), 1294-1299
• [7] Zadeh L.A., Fuzzy Sets, Inform. and Control, 8(1965), 338-353