In mathematics, the Whitney inequality gives an upper bound for the error of best approximation of a function by polynomials in terms of the moduli of smoothness. It was first proved by Hassler Whitney in 1957,[1] and is an important tool in the field of approximation theory for obtaining upper estimates on the errors of best approximation.
^Hassler, Whitney (1957). "On Functions with Bounded nth Differences". J. Math. Pures Appl. 36 (IX): 67–95.
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In mathematics, the Whitneyinequality gives an upper bound for the error of best approximation of a function by polynomials in terms of the moduli of...
mathematician working on analysis. Together with Hassler Whitney, he discovered the Loomis–Whitneyinequality. Loomis received his PhD in 1942 from Harvard University...
01016. Loomis–WhitneyinequalityWhitney extension theorem Stiefel–Whitney class Whitney's conditions A and B Whitney embedding theorem Whitney graph isomorphism...
Whitney Moore Young Jr. (July 31, 1921 – March 11, 1971) was an American civil rights leader. Trained as a social worker, he spent most of his career...
dispersion intended to represent the income inequality, the wealth inequality, or the consumption inequality within a nation or a social group. It was developed...
terms of derivatives. For example, moduli of smoothness are used in Whitneyinequality to estimate the error of local polynomial approximation. Another application...
their school. Educational inequality contributes to a number of broader problems in the United States, including income inequality and increasing prison populations...
manufacturing base lagged behind that of the non-slave states. Wealth inequality grew as the larger landholders took the greater share of the profits generated...
ISBN 9780199859016. Drakulich, Kevin; Rodriguez-Whitney, Eric (June 22, 2018), "Intentional Inequalities and Compounding Effects", The Handbook of Race...
{\displaystyle b_{m}} of the scalar inequalities. An open convex polytope is defined in the same way, with strict inequalities used in the formulas instead of...
most Americans". On April 7, 2019, Dalio said on 60 Minutes that income inequality in the United States was a national emergency requiring reform. In July...
Whitney Houston Foundation for Children, in particular, focused on helping children who suffered from HIV/AIDS, among other issues. In 1990, Whitney took...
Chebyshev inequality; it appears in an inequality on location and scale parameters. This formula also follows directly from Cantelli's inequality. For the...
Performing Arts at Syracuse University. After participating in the 2010–11 Whitney Independent Study Program, she began teaching at Yale University. Frazier...
{\displaystyle r(A)\leq r(A\cup \{x\})\leq r(A)+1~.} From the first inequality it follows more generally that, if A ⊆ B ⊆ E , {\displaystyle A\subseteq...
(northern terminus)) and the southern terminus located on the summit of Mount Whitney (36°34′43″N 118°17′31″W / 36.5785°N 118.292°W / 36.5785; -118.292 (southern...
variation. The Gini coefficient was originally developed to measure income inequality and is equivalent to one of the L-moments. A simple summary of a dataset...
commentary and personal themes concerning African-American culture, racial inequality, depression, and institutional discrimination. This thematic direction...
find optimality or prove optimality by adding a small number of extra inequalities (cuts). They used this idea to solve their initial 49-city problem using...
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