Inequalities for the norms of finite difference operators of multiply monotone sequences
نویسندگان
چکیده
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 of other parameters. Mathematics subject classification (2010): 26D10, 47B39, 39A70, 65L12.
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تاریخ انتشار 2012