Inequalities for the norms of finite difference operators of multiply monotone sequences
نویسندگان
چکیده
منابع مشابه
Inequalities for the norms of finite difference operators of multiply monotone sequences
In this paper we shall present discrete Kolmogorov type inequalities for multiply monotone sequences defined on non-positive integers. Moreover, we will provide a more delicate information by obtaining the description of the following modulus of continuity ω j,r p,q (δ ,ε) = sup{‖Δx‖q : x,Δx, . . . ,Δ j x 0, ‖x‖p = δ , ‖Δx‖∞ = ε} for δ ε > 0 and values of j = r−2 or j = r−1 depending on values ...
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ژورنال
عنوان ژورنال: Mathematical Inequalities & Applications
سال: 2012
ISSN: 1331-4343
DOI: 10.7153/mia-15-21