Abstract

SEVER DRAGOMIR, Silvestru. Inequalities for D−Synchronous Functions and Related Functionals. Integración - UIS [online]. 2020, vol.38, n.2, pp.119-132.  Epub June 30, 2020. ISSN 0120-419X.  https://doi.org/10.18273/revint.v38n2-2020005.

We introduce in this paper the concept of quadruple D−synchronous functions which generalizes the concept of a pair of synchronous functions, we establish an inequality similar to Chebyshev inequality and we also provide some Cauchy-Bunyakovsky-Schwarz type inequalities for a functional associated with this quadruple. Some applications for univariate functions of real variable are given. Discrete inequalities are also stated.

Keywords : Synchronous Functions; Lipschitzian functions; Chebyshev inequality; Cauchy-Bunyakovsky-Schwarz inequality.

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