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KAJIAN INTEGRAL LEBESGUE

Jasmi Pratiwi

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Abstract

One of the discussion in collection is integral. Hendry Lebesgue (1902) arrange measure theory that well known with Lebesgue Measure. By using Measure theory Lebesgue arrange new integral theory that known by named integral Lebesgue. This thesis will discuss and studied about integral Lebesgue in the real function, the definition of integral Lebesgue can be different into several function they are simple function , bounded functinon on , for positif function ( that should not bounded) and general function. This integral Lebesgue is generalized Riemann integral , if function integrable Riemann at then also integrable Lebesgue at

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What this paper is about

One of the discussion in collection is integral. Hendry Lebesgue (1902) arrange measure theory that well known with Lebesgue Measure. By using Measure theory Lebesgue arrange new integral theory that known by named integral Lebesgue. This thesis will discuss and studied about integral Lebesgue in the real function, the definition of integral Lebesgue can be different into several function they are simple function , bounded functinon on , for positif function ( that should not bounded) and general function. This integral Lebesgue is generalized Riemann integral , if function integrable Riemann at then also integrable Lebesgue at

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Available abstract

One of the discussion in collection is integral. Hendry Lebesgue (1902) arrange measure theory that well known with Lebesgue Measure. By using Measure theory Lebesgue arrange new integral theory that known by named integral Lebesgue. This thesis will discuss and studied about integral Lebesgue in the real function, the definition of integral Lebesgue can be different into several function they are simple function , bounded functinon on , for positif function ( that should not bounded) and general function. This integral Lebesgue is generalized Riemann integral , if function integrable Riemann at then also integrable Lebesgue at

Key concepts: Lebesgue–Stieltjes integration, Riemann integral, Lebesgue integration, Daniell integral, Lebesgue's number lemma, Riemann–Stieltjes integral, Mathematics, Locally integrable function

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