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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… Click to show full 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 extended for r a real number. Some necessary and sufficient conditions such that a real sequence belongs to the class of convex sequences of higher order r ∈ R are introduced. Using different types of means we will investigate the convexity of higher order for real sequences.
Keywords:
convex sequences;
order;
higher order;
sequences higher
Journal Title: Filomat
Year Published: 2018
Link to full text (if available)
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Journal Title: Filomat
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!