6533b86efe1ef96bd12cb490

RESEARCH PRODUCT

New results concerning Chebyshev–Grüss-type inequalities via discrete oscillations

Ana Maria AcuMaria-daniela Rusu

subject

Mathematics::Functional AnalysisPure mathematicsInequalityApplied Mathematicsmedia_common.quotation_subjectMathematical analysisMathematics::Classical Analysis and ODEsBivariate analysisType (model theory)Chebyshev filterComputational MathematicsTensor productProduct (mathematics)MathematikMathematicsmedia_common

description

The classical form of Gruss' inequality was first published by G. Gruss and gives an estimate of the difference between the integral of the product and the product of the integrals of two functions. In the subsequent years, many variants of this inequality appeared in the literature. The aim of this paper is to consider some new bivariate Chebyshev-Gruss-type inequalities via discrete oscillations and to apply them to different tensor products of linear (not necessarily) positive, well-known operators. We also compare the new inequalities with some older results. In the end we give a Chebyshev-Gruss-type inequality with discrete oscillations for more than two functions.

yearjournalcountryeditionlanguage
2014-09-01Applied Mathematics and Computation
https://doi.org/10.1016/j.amc.2014.06.008