Log-convex sequences and nonzero proximate orders
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DOI: 10.1016/j.jmaa.2016.11.069
Abstract: Abstract Summability methods for ultraholomorphic classes in sectors, defined in terms of a strongly regular sequence M = ( M p ) p ∈ N 0 , have been put forward by A. Lastra, S.… read more here.
Keywords: nonzero proximate; sequences nonzero; convex sequences; log convex ... See more keywords
Sherman, Hermite-Hadamard and Fejer like inequalities for convex sequences and nondecreasing convex functions
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DOI: 10.2298/fil1708321n
Abstract: In this paper, we prove Sherman like inequalities for convex sequences and nondecreasing convex functions. Thus we develop some results by S. Wu and L. Debnath \cite{WD}. In consequence, we derive discrete versions for convex… read more here.
Keywords: like inequalities; convex functions; inequalities convex; convex sequences ... See more keywords
Convex sequences of higher order
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DOI: 10.2298/fil1813655s
Abstract: In this paper we study the class of convex sequences of higher order defined using the difference operators and investigate their properties. The notion of the convex sequence of order r ∈ N will be… read more here.
Keywords: convex sequences; order; higher order; sequences higher ... See more keywords