engleski

Inequalities related to Chebyshev functional involving integrals over different intervals

A generalized Chebyshev functional involving integral means of functions over different intervals is investigated. Bounds are obtained for which the functions are assumed to be of Holder type. A weighted generalized Chebyshev functional is also introduced and bounds are obtained in terms of weighted Gruss, Chebyshev and Lupas inequalities.

Chebyshev functional; Gruss inequalities; Chebyshev inequalities; Lupas inequalities

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