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- W2510516165 abstract "Abstract In this paper, we introduce the definition of a convex real valued function f defined on the set of integers, ℤ. We prove that f is convex on Z if and only if Δ 2 f ≥ 0 on ℤ. As a first application of this new concept, we state and prove discrete Hermite–Hadamard inequality using the basics of discrete calculus (i.e., the calculus on Z). Second, we state and prove the discrete fractional Hermite–Hadamard inequality using the basics of discrete fractional calculus. We close the paper by defining the convexity of a real valued function on any time scale." @default.
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- W2510516165 date "2016-06-01" @default.
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- W2510516165 title "Convex Functions on Discrete Time Domains" @default.
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- W2510516165 doi "https://doi.org/10.4153/cmb-2015-065-6" @default.
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