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Weighted Ostrowski and Gruss type inequalites with applications

The goal of this talk is to present several weighted Ostrowski and Gruss type inequalites for continuous functions with one point of nondifferentiability by using some bounds for the Chebyshev functional. Also, some Gruss type inequalites for functions with absolutely continous n-th derivative will be presented. As applications, some new estimates for the error in certain numerical integration rules will be obtained.

Chebyshev functional, Ostrowski inequality, Gruss type inequalites

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