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2011•Creative Mathematics and InformaticsOpen access

When is the limit equal to the supremum norm of f?

CAMPIA TURZII, 405100 CLUJ-NAPOCA, ROMANIA E-mail address: ofurdui@yahoo.com, Ovidiu Furdui, Huizeng Qin

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Abstract

If f is a nonnegative continuous function on [0, 1] we investigate the problem when is ... equal to the supremum norm of f. This problem is motivated by a problem in classical analysis which states that if f is a continuous function on [a, b] then the following equality holds

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If f is a nonnegative continuous function on [0, 1] we investigate the problem when is ... equal to the supremum norm of f. This problem is motivated by a problem in classical analysis which states that if f is a continuous function on [a, b] then the following equality holds

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If f is a nonnegative continuous function on [0, 1] we investigate the problem when is ... equal to the supremum norm of f. This problem is motivated by a problem in classical analysis which states that if f is a continuous function on [a, b] then the following equality holds

Key concepts: Infimum and supremum, Uniform norm, Norm (philosophy), Limit (mathematics), Mathematics, Function (biology), Continuous function (set theory), Combinatorics

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