Document Zbl 1275.26028

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Inequalities of Ostrowski and Simpson type for mappings of two variables with bounded variation and applications. (English) Zbl 1275.26028

Transylv. J. Math. Mech. 3, No. 2, 81-94 (2011).

Summary: Two inequalities of Ostrowski type and Simpson type for mappings of two independent variables with bounded variation are established. A general inequality of trapezoid type is obtained. Applications to some special means and to a quadrature formula are given.

Cited in 1 Review

Cited in 3 Documents

MSC:

26D10	Inequalities involving derivatives and differential and integral operators
26A15	Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable
26A16	Lipschitz (Hölder) classes
26A51	Convexity of real functions in one variable, generalizations
26E60	Means

Keywords:

Ostrowski inequality; Riemann-Stieltjes; bounded variation

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