Yazar "Hazarika, Bipan" seçeneğine göre listele

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    Ideal quasi-Cauchy sequences
    (SPRINGER INTERNATIONAL PUBLISHING AG, 2012) Cakalli, Huseyin; Hazarika, Bipan
    An ideal I is a family of subsets of positive integers N which is closed under taking finite unions and subsets of its elements. A sequence (x(n)) of real numbers is said to be I-convergent to a real number L if for each epsilon > 0, the set {n : vertical bar x(n) - L vertical bar >= epsilon} belongs to I. We introduce I-ward compactness of a subset of R, the set of real numbers, and I-ward continuity of a real function in the senses that a subset E of R is I-ward compact if any sequence (x(n)) of points in E has an I-quasi-Cauchy subsequence, and a real function is I-ward continuous if it preserves I-quasi-Cauchy sequences where a sequence (x(n)) is called to be I-quasi-Cauchy when (Delta x(n)) is I-convergent to 0. We obtain results related to I-ward continuity, I-ward compactness, ward continuity, ward compactness, ordinary compactness, ordinary continuity, delta-ward continuity, and slowly oscillating continuity.
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    The jones spaces over RnI
    (Maltepe Üniversitesi, 2021) Hazarika, Bipan; Kalita, Hemanta
    . The objective of this paper is to construct separable Banach spaces S Dp [R n I ] for 1 ? p ? ?, each of which contains all of the standard L p [R n I ] spaces, as compact dense embedding.
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    New results in quasi cone metric spaces
    (JOURNAL MATHEMATICS & COMPUTER SCIENCE-JMCS, 2016) Yaying, Teja; Hazarika, Bipan; Cakalli, Huseyin
    In this paper, we prove some interesting results using forward and backward convergence in quasi cone metric spaces. We study forward and backward sequential compactness, sequential countably compactness, and sequential continuity property in quasi cone metric spaces and give some interesting results. (C) 2016 all rights reserved.