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In this paper we introduce some new types of double difference sequence spaces defined by a new definition of convergence of double sequences and a double series with the help of sequence of Orlicz functions and a four dimensional bounded regular matrices A = (artkl). We also make an effort to study some topological properties and inclusion relations between these sequence spaces. Finally, we compute the closed ideals in the space ��2∞.
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참고문헌 (36)
참고문헌 신청
T. J. Bromwich / 1965 / An introduction to the theory of infinite series / Macmillan and co. Ltd
J. Connor / 1989 / On strong matrix summability with respect to a modulus and statistical convergence / Canad. Math. Bull 32:194~198
K. Demirci / 1996 / Strong A-summability and A-statistical convergence / Indian J. Pure Appl. Math 27(6):589~593
A. Esi / 2013 / Strongly lacunary summable generalized difference double sequence spaces in n-normed spaces defined by ideal convergence and an Orlicz function / Progress in Applied Mathematics 5(1):1~10
A. Esi / 2015 / Some sets of double lacunary invariant sequences defined by four dimensional summable matrices and Orlicz functions / Miskolc Math. Notes 16(2):805~816
J. Connor / 1989 / On strong matrix summability with respect to a modulus and statistical convergence / Canad. Math. Bull 32:194~198
K. Demirci / 1996 / Strong A-summability and A-statistical convergence / Indian J. Pure Appl. Math 27(6):589~593
A. Esi / 2013 / Strongly lacunary summable generalized difference double sequence spaces in n-normed spaces defined by ideal convergence and an Orlicz function / Progress in Applied Mathematics 5(1):1~10
A. Esi / 2015 / Some sets of double lacunary invariant sequences defined by four dimensional summable matrices and Orlicz functions / Miskolc Math. Notes 16(2):805~816
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