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Mathematical Analysisthe Rate of ConvergencePositive Linear OperatorsMetric SpacesHilbert SpaceFunction SpacesApproximation TheoryBaskakov OperatorsBanaCh SpaceS TheoremLebesgue IntegrableWeight FunctionFourier SeriesBernstein-Durrmeyer OperatorIntegral InequalitiesBanach FunctionLagrange Interpolating PolynomialDifferential EquationsUniform ConvergenceDifferential Operator