Source: wikibot/integral-operator

= Integral operator
{wiki=Integral_operator}

An integral operator is a mathematical operator that transforms a function into another function via integration. It is a fundamental concept in various branches of mathematics, particularly in functional analysis, integral equations, and applied mathematics. The integral operator typically takes the form: \\\[ (Tf)(x) = \\int_a^b K(x, t) f(t) \\, dt \\\] where: - \\( T \\) is the integral operator. - \\( f(t) \\) is the input function.