Hölder condition
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Hölder condition [′hel·dər kən‚dish·ən]

(mathematics)

A function ƒ(x) satisfies the Hölder condition in a neighborhood of a pointx₀if |ƒ(x) - ƒ(x₀)| ≤c|(x-x₀)|ⁿ, wherecandnare constants.

A function ƒ(x) satisfies a Hölder condition in an interval or in a region of the plane if |ƒ(x) - ƒ(y)| ≤c|x - y|ⁿfor allxandyin the interval or region, wherecandnare constants.

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No references found			p] space (p > 1) or in the space of Holder continuous functions [2]. On chaotic and stable behaviour of the von Foerster-Lasota equation ... by Dawidowicz, Antoni Leon; Poskrobko, Anna / Proceedings of the Estonian Academy of Sciences ], where k is a non-negative, bounded and Holder continuous function such that [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] ([k. Pseudo almost periodic mild solutions of retarded functional ... by Bahuguna, D.; Abbas, S. / Global Journal of Pure and Applied Mathematics Topics include a review of preliminaries such as continuous and Holder continuous functions, Sobolev spaces and convex analysis; classical methods such as Euler-Lagrange equations; direct methods such as the Dirichlet integral; regularity, such as the one-dimensinal case; minimal surfaces such as in the Douglas- Courant-Tonelli method; and isoperimetric inequality. Introduction to the calculus of variations by SciTech Book News			hold circuit hold control hold facility hold harmless hold lamp hold mode hold over hold queue hold time hold-down bolt hold-down clip hold-over command holdback holdbeam holddown holddown groove holddown timer Holden Holden, Edward Singleton Holden, Oliver Holden, William Woods holdenite holder holder bat Hölder condition Holder continuous function Hölder summation Holder's Inequality Hölder's Inequality Holder, Geoffrey Hölderlin, Friedrich Holderlin, Johann Christian Friedrich Hölderlin, Johann Christian Friedrich holdfast holding holding anode holding beam holding coil Holding Company holding current holding furnace holding ground holding magnet holding pattern holding period holding point Holding System holding time holding-down bolt Holdsworth, Sir William Searle holdup			Holden Psychological Screening Inventory Holden Racing Team Holden Special Vehicles Holden Sporting Car Club Victoria Inc. Holden, Edward Singleton Holden, Oliver Holden, William Woods Holden: The Video Game holdenite Holdenville High School holder holder holder holder holder holder holder bat Holder class Hölder class Holder condition Hölder condition Hölder conjugate Hölder conjugates Holder continuity Hölder continuity Holder continuous Hölder continuous Holder continuous function Holder down Holder down Holder down Holder down Holder Identification Number Holder in due course Holder in due course Holder in due course Holder in due course holder in due negotiation Holder inequality Hölder inequality Hölder norm holder of an estate by virtue of a lease holder of an office Holder of Record Holder of Record Holder of Record Holder of record date holder of the legal estate Holder space Hölder space Hölder summation Holder's inequality Hölder's inequality Holder's sum inequality Hölder's sum inequality Holder, Geoffrey Holder-forth Holderen

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Hölder condition (redirected from Holder continuous function)

Hölder condition
(redirected from Holder continuous function)