Holder continuous

Holder continuous
Математика: непрерывный по Гельдеру

Универсальный англо-русский словарь. . 2011.

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  • Hölder condition — In mathematics, a real valued function f on R n satisfies a Hölder condition, or is Hölder continuous, when there are nonnegative real constants C , α, such that, forall x, y in mathbf{R}^n ,: | f(x) f(y) | leq C |x y| ^{alpha}. This condition… …   Wikipedia

  • Continuous function — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …   Wikipedia

  • Hölder's inequality — In mathematical analysis Hölder s inequality, named after Otto Hölder, is a fundamental inequality between integrals and an indispensable tool for the study of Lp spaces. Let (S, Σ, μ) be a measure space and let 1 ≤ p, q ≤ ∞ with… …   Wikipedia

  • Continuous-repayment mortgage — Analogous to continuous compounding, a continuous annuity[1][2] is an ordinary annuity in which the payment interval is narrowed indefinitely. A (theoretical) continuous repayment mortgage is a mortgage loan paid by means of a continuous annuity …   Wikipedia

  • Continuous Discharge Certificate — C.D.C means a Continuous Discharge Certificate cum Seafarer s Identity Document. This document certifies that the person holding this is a seaman as per The International Convention on Standards of Training, Certification and Watch keeping for… …   Wikipedia

  • Flame holder — A flame holder is a component of a jet engine designed to help maintain continual combustion.All continuous combustion jet engines require a flame holder. A flame holder creates a low speed eddy in the engine to prevent the flame from being blown …   Wikipedia

  • Arzelà–Ascoli theorem — In mathematics, the Arzelà–Ascoli theorem of functional analysis gives necessary and sufficient conditions to decide whether every subsequence of a given sequence of real valued continuous functions defined on a closed and bounded interval has a… …   Wikipedia

  • Lipschitz continuity — In mathematics, more specifically in real analysis, Lipschitz continuity, named after Rudolf Lipschitz, is a smoothness condition for functions which is stronger than regular continuity. Intuitively, a Lipschitz continuous function is limited in… …   Wikipedia

  • Weierstrass function — may also refer to the Weierstrass elliptic function ( ) or the Weierstrass sigma, zeta, or eta functions. Plot of Weierstrass Function over the interval [−2, 2]. Like fractals, the function exhibits self similarity: every zoom (red circle)… …   Wikipedia

  • Sobolev inequality — In mathematics, there is in mathematical analysis a class of Sobolev inequalities, relating norms including those of Sobolev spaces. These are used to prove the Sobolev embedding theorem, giving inclusions between certain Sobolev spaces, and the… …   Wikipedia

  • Obstacle problem — The obstacle problem is a classic motivating example in the mathematical study of variational inequalities and free boundary problems. The problem is to find the equilibrium position of an elastic membrane whose boundary is held fixed, and which… …   Wikipedia


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