Convex function
In mathematics, a real-valued function is called convex if the line segment between any two points on the graph of the function lies above the graph between the two points. Equivalently, a function is convex if its epigraph (the set of points on or above the graph of the function) is a convex set. A twice-differentiable function of a single variable is convex if and only if its second derivative is nonnegative on its entire domain. Well-known examples of convex functions of a single variable include the quadratic function and the exponential function . In simple terms, a convex function refers to a function that is in the shape of a cup , and a concave function is in the shape of a cap .
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Convex function
In mathematics, a real-valued function is called convex if the line segment between any two points on the graph of the function lies above the graph between the two points. Equivalently, a function is convex if its epigraph (the set of points on or above the graph of the function) is a convex set. A twice-differentiable function of a single variable is convex if and only if its second derivative is nonnegative on its entire domain. Well-known examples of convex functions of a single variable include the quadratic function and the exponential function . In simple terms, a convex function refers to a function that is in the shape of a cup , and a concave function is in the shape of a cap .
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Em matemática, uma função f de ...... para todo t ∈ (0,1), se tiver:
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En konvex funktion i en variab ...... ngder av sin definitionsmängd.
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En matemàtica, una funció real ...... ncava si la funció és convexa.
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En matemática, una función rea ...... ueda por encima de la función.
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En mathématiques, une fonction ...... onvexe est un minimum global).
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In de analyse, een deelgebied ...... md als voor elke in (0,1) en .
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In matematica, una funzione a ...... posto è una funzione convessa.
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In mathematics, a real-valued ...... ality and Hölder's inequality.
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Spojitá konvexní funkce na int ...... jnicí zmíněných krajních bodů.
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Wypukłość i wklęsłość funkcji ...... zną – mówimy, że jest wklęsła.
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Convex function
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Em matemática, uma função f de ...... para todo t ∈ (0,1), se tiver:
@pt
En konvex funktion i en variab ...... d godtyckligt antal variabler.
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En matemàtica, una funció real ...... ncava si la funció és convexa.
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En matemática, una función rea ...... ueda por encima de la función.
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En mathématiques, une fonction ...... fonction strictement convexe.
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In de analyse, een deelgebied ...... md als voor elke in (0,1) en .
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In matematica, una funzione a ...... e la disuguaglianza di Jensen.
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In mathematics, a real-valued ...... ion is in the shape of a cap .
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Spojitá konvexní funkce na int ...... jnicí zmíněných krajních bodů.
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Wypukłość i wklęsłość funkcji ...... zną – mówimy, że jest wklęsła.
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label
Convex function
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Convexe functie
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Fonction convexe
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Funció convexa
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Función convexa
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Funzione convessa
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Função convexa
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Konvex funktion
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Konvexe Funktion
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Konvexní funkce
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