Abstract
Let ω≥0 be a given number and I a subinterval of ℤ. We say that a sequence (f k)k∈I is ω-midconvex if
We give various characterizations of ω-midconvex sequences.
We also show that in a natural way one can derive from the above definition classical notions of convexity and strong convexity for functions defined on subintervals of ℝ.
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© 2012 Springer Basel
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Tabor, J., Tabor, J., Żołdak, M. (2012). Strongly Convex Sequences. In: Bandle, C., Gilányi, A., Losonczi, L., Plum, M. (eds) Inequalities and Applications 2010. International Series of Numerical Mathematics, vol 161. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0249-9_14
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DOI: https://doi.org/10.1007/978-3-0348-0249-9_14
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