On quasi-monotone sequences and their applications
نویسندگان
چکیده
منابع مشابه
On the Quasi Monotone and Generalized Power Increasing Sequences and Their New Applications
In this paper, we prove a general theorem dealing with |C,α ,γ ,β ;σ |k summability factors by using a general class of power increasing sequences instead of an almost increasing sequence. This theorem also includes several known and new results.
متن کاملQuasi–monotone Weight Functions and Their Characteristics and Applications
A weight function w(x) on (0, l) or (l,∞) , is said to be quasi-monotone if w(x)x−a0 C0w(y)y−a0 either for all x y or for all y x, for some a0 ∈ R , C0 1 . In this paper we discuss, complement and unify several results concerning quasi-monotone functions. In particular, some new results concerning the close connection to index numbers and generalized Bary-Stechkin classes are proved and applied...
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In this paper, a theorem of Bor and Özarslan [3] dealing with | C,α; β |k summability factors has been generalized for | C,α, γ ; β |k summability methods.
متن کاملA New Note on Almost Increasing and Quasi Monotone Sequences
In [22], we proved a main theorem dealing an application of almost increasing and quasi monotone sequences. In this paper, we prove that theorem under weaker conditions. We also obtained some new and known results.
متن کاملGeneralized Quasi Power Increasing Sequences and Their Some New Applications
In this paper, we generalize a known theorem by using a general class of power increasing sequences instead of a quasi-δ-power increasing sequence. This theorem also includes some known and new results.
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1991
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700028951