integrable function

integrable function
Any function that possesses a finite integral

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  • Integrable function — In mathematics, an integrable function is a function whose integral exists. Unless specifically stated, the integral in question is usually the Lebesgue integral. Otherwise, one can say that the function is Riemann integrable (i.e., its Riemann… …   Wikipedia

  • Locally integrable function — In mathematics, a locally integrable function is a function which is integrable on any compact set of its domain of definition. Formal definition Formally, let Omega be an open set in the Euclidean space scriptstylemathbb{R}^n and scriptstyle… …   Wikipedia

  • integrable — ˈintəgrəbəl adjective Etymology: integrate (III) + able : capable of being integrated a differential equation that is integrable an integrable function …   Useful english dictionary

  • Function (mathematics) — f(x) redirects here. For the band, see f(x) (band). Graph of example function, In mathematics, a function associates one quantity, the a …   Wikipedia

  • integrable — integrability, n. /in ti greuh beuhl/, adj. Math. capable of being integrated, as a mathematical function or differential equation. [1720 30; INTEGR(ATE) + ABLE] * * * …   Universalium

  • integrable — in•te•gra•ble [[t]ˈɪn tɪ grə bəl[/t]] adj. math. capable of being integrated, as a mathematical function • Etymology: 1720–30 in te•gra•bil′i•ty, n …   From formal English to slang

  • integrable — /ˈɪntəgrəbəl/ (say intuhgruhbuhl) adjective capable of being integrated, as a mathematical function or differential equation …  

  • Dirac delta function — Schematic representation of the Dirac delta function by a line surmounted by an arrow. The height of the arrow is usually used to specify the value of any multiplicative constant, which will give the area under the function. The other convention… …   Wikipedia

  • Maximal function — Maximal functions appear in many forms in harmonic analysis (an area of mathematics). One of the most important of these is the Hardy–Littlewood maximal function. They play an important role in understanding, for example, the differentiability… …   Wikipedia

  • Generalized function — In mathematics, generalized functions are objects generalizing the notion of functions. There is more than one recognised theory. Generalized functions are especially useful in making discontinuous functions more like smooth functions, and (going …   Wikipedia

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