Characterization of Functions in Terms of Rate of Convergence of a Quadrature Process

DOI10.2307/2047864zbMath0722.41031OpenAlexW4238876480MaRDI QIDQ3209589

Qazi Ibadur Rahman, Gerhard Schmeisser

Publication date: 1991

Full work available at URL: https://doi.org/10.2307/2047864

zbMATH Keywords

regularity propertiestrapezoidal rule

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Topological linear spaces of continuous, differentiable or analytic functions (46E10)

Related Items

Characterization of the speed of convergence of the trapezoidal rule, Characterization of functions in terms of rate of convergence of a quadrature process. II: Case of non-periodic functions

Cites Work

• Unnamed Item
• Unnamed Item
• Characterization of a function by certain infinite series it generates
• A two-dimensional mean problem
• Mean boundary value problems and Riemann series
• The kernel of a rule of approximate integration
• On Characterization of Functions by Their Gauss–Chebyshev Quadratures
• On Averages of a Function and Its Application to Boundary Value Problems with Insufficient Data
• Analytic Functions Characterized by Their Means on an Arc
• Diophantine Approximations and Hilbert's Space