APPROXIMATION OF CONTINUOUS FUNCTION | WEIERSTRASS APPROXIMATION | REAL ANALYSIS | BARTLE & SHERBERT

Every continuous function defined on a closed and bounded interval can be approximated by a step function with desired error. Every continuous function defined on a closed and bounded interval can be approximated by a piecewise linear function with desired error. Every continuous function defined on a closed and bounded interval can be approximated by a polynomial function with desired error. Theory of Real Functions Bartle & Sherbert Real Analysis B.SC (H) Mathematics Sem III University of Delhi #iitjam #tifr #functions #continuous #continuity #bartlesherbert #realanalysis #mathematics #maths #topology #calculus #geometry #algebra #mathematicians #complexanalysis #mathproblems #trigonometry #appliedmathematics #math #physics #csirnet #grouptheory #cmi #mathstudent #tifr #mathematician #linearalgebra #triangleinequalitytheorem #eigenvaluesandeigenvectors #leastupperbounds #oscillations #mathematicalanalysis #absolutevalue #mathematicalproof #mathematicalstructure #bhfyp