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A companion of Ostrowski’s inequality for mappings whose first derivatives are bounded and applications in numerical integration. (English) Zbl 1289.26037

Summary: A companion of Ostrowski’s integral inequality for differentiable mappings whose first derivatives are bounded is proved. Applications to a composite quadrature rule and to probability density functions are considered.

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
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