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Favard Problem
Jean Favard (28 August 190221 January 1965) was a French mathematician who worked on analysis. Favard was born in Peyrat-la-Nonière. During World War II he was a prisoner of war in Germany. He also was a President of the French Mathematical Society in 1946. He died in La Tronche, aged 62. See also * Favard measure (se * Bohr–Favard inequality (se * Favard inequality (se * Favard constant * Favard–Akhiezer–Krein theorem * Favard interpolation * Favard theorem * Favard problem (se * Favard operators In functional analysis, a branch of mathematics, the Favard operators are defined by: : mathcal_n(f)x) = \frac \sum_^\infty where x\in\mathbb, n\in\mathbb. They are named after Jean Favard. Generalizations A common generalization is: : mathcal_ ... External linksCOMITE DES AMIS DE JEAN-FAVARD*ThLycée Jean Favardis named after him.Favard is mentioned as a prisoner of war. * {{DEFAULTSORT:Favard, Jean 1902 births 1965 deaths Mathematical analysts 20th-cent ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Favard Measure
Jean Favard (28 August 190221 January 1965) was a French mathematician who worked on analysis. Favard was born in Peyrat-la-Nonière. During World War II he was a prisoner of war in Germany. He also was a President of the French Mathematical Society in 1946. He died in La Tronche, aged 62. See also * Favard measure (se * Bohr–Favard inequality (se * Favard inequality (se * Favard constant * Favard–Akhiezer–Krein theorem * Favard interpolation * Favard theorem * Favard problem (se * Favard operators In functional analysis, a branch of mathematics, the Favard operators are defined by: : mathcal_n(f)x) = \frac \sum_^\infty where x\in\mathbb, n\in\mathbb. They are named after Jean Favard. Generalizations A common generalization is: : mathcal_ ... External linksCOMITE DES AMIS DE JEAN-FAVARD*ThLycée Jean Favardis named after him.Favard is mentioned as a prisoner of war. * {{DEFAULTSORT:Favard, Jean 1902 births 1965 deaths Mathematical analysts 20th-century ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Favard Problem
Jean Favard (28 August 190221 January 1965) was a French mathematician who worked on analysis. Favard was born in Peyrat-la-Nonière. During World War II he was a prisoner of war in Germany. He also was a President of the French Mathematical Society in 1946. He died in La Tronche, aged 62. See also * Favard measure (se * Bohr–Favard inequality (se * Favard inequality (se * Favard constant * Favard–Akhiezer–Krein theorem * Favard interpolation * Favard theorem * Favard problem (se * Favard operators In functional analysis, a branch of mathematics, the Favard operators are defined by: : mathcal_n(f)x) = \frac \sum_^\infty where x\in\mathbb, n\in\mathbb. They are named after Jean Favard. Generalizations A common generalization is: : mathcal_ ... External linksCOMITE DES AMIS DE JEAN-FAVARD*ThLycée Jean Favardis named after him.Favard is mentioned as a prisoner of war. * {{DEFAULTSORT:Favard, Jean 1902 births 1965 deaths Mathematical analysts 20th-cent ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jean Favard Oberwolfach Août 1963
Jean may refer to: People * Jean (female given name) * Jean (male given name) * Jean (surname) Fictional characters * Jean Grey, a Marvel Comics character * Jean Valjean, fictional character in novel ''Les Misérables'' and its adaptations * Jean Pierre Polnareff, a fictional character from ''JoJo's Bizarre Adventure'' Places * Jean, Nevada, USA; a town * Jean, Oregon, USA Entertainment * Jean (dog), a female collie in silent films * "Jean" (song) (1969), by Rod McKuen, also recorded by Oliver * ''Jean Seberg'' (musical), a 1983 musical by Marvin Hamlisch Other uses * JEAN (programming language) * USS ''Jean'' (ID-1308), American cargo ship c. 1918 * Sternwheeler Jean, a 1938 paddleboat of the Willamette River See also *Jehan * * Gene (other) * Jeanne (other) * Jehanne (other) * Jeans (other) * John (other) John is a common English name and surname: * John (given name) * John (surname) John may also refer to: N ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1965 Deaths
Events January–February * January 14 – The Prime Minister of Northern Ireland and the Taoiseach of the Republic of Ireland meet for the first time in 43 years. * January 20 ** Lyndon B. Johnson is Second inauguration of Lyndon B. Johnson, sworn in for a full term as President of the United States. ** Indonesian President Sukarno announces the withdrawal of the Indonesian government from the United Nations. * January 30 – The Death and state funeral of Winston Churchill, state funeral of Sir Winston Churchill takes place in London with the largest assembly of dignitaries in the world until the 2005 funeral of Pope John Paul II. * February 4 – Trofim Lysenko is removed from his post as director of the Institute of Genetics at the Russian Academy of Sciences, Academy of Sciences in the Soviet Union. Lysenkoism, Lysenkoist theories are now treated as pseudoscience. * February 12 ** The African and Malagasy Republic, Malagasy Common Organization ('; OCA ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1902 Births
Nineteen or 19 may refer to: * 19 (number), the natural number following 18 and preceding 20 * one of the years 19 BC, AD 19, 1919, 2019 Films * ''19'' (film), a 2001 Japanese film * ''Nineteen'' (film), a 1987 science fiction film Music * 19 (band), a Japanese pop music duo Albums * ''19'' (Adele album), 2008 * ''19'', a 2003 album by Alsou * ''19'', a 2006 album by Evan Yo * ''19'', a 2018 album by MHD * ''19'', one half of the double album '' 63/19'' by Kool A.D. * '' Number Nineteen'', a 1971 album by American jazz pianist Mal Waldron * ''XIX'' (EP), a 2019 EP by 1the9 Songs * "19" (song), a 1985 song by British musician Paul Hardcastle. * "Nineteen", a song by Bad4Good from the 1992 album ''Refugee'' * "Nineteen", a song by Karma to Burn from the 2001 album ''Almost Heathen''. * "Nineteen" (song), a 2007 song by American singer Billy Ray Cyrus. * "Nineteen", a song by Tegan and Sara from the 2007 album '' The Con''. * "XIX" (song), a 2014 song by ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Favard Operators
In functional analysis, a branch of mathematics, the Favard operators are defined by: : mathcal_n(f)x) = \frac \sum_^\infty where x\in\mathbb, n\in\mathbb. They are named after Jean Favard. Generalizations A common generalization is: : mathcal_n(f)x) = \frac \sum_^\infty where (\gamma_n)_^\infty is a positive sequence that converges to 0. This reduces to the classical Favard operators when \gamma_n^2=1/(2n). References * This paper also discussed Szász–Mirakyan operator In functional analysis, a discipline within mathematics, the Szász–Mirakyan operators (also spelled "Mirakjan" and "Mirakian") are generalizations of Bernstein polynomials to infinite intervals, introduced by Otto Szász in 1950 and G. M. Mira ...s, which is why Favard is sometimes credited with their development (e.g. Favard–Szász operators Footnotes Approximation theory {{mathanalysis-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Favard Theorem
In mathematics, Favard's theorem, also called the Shohat–Favard theorem, states that a sequence of polynomials satisfying a suitable 3-term recurrence relation is a sequence of orthogonal polynomials. The theorem was introduced in the theory of orthogonal polynomials by and , though essentially the same theorem was used by Stieltjes in the theory of continued fractions many years before Favard's paper, and was rediscovered several times by other authors before Favard's work. Statement Suppose that ''y''0 = 1, ''y''1, ... is a sequence of polynomials where ''y''''n'' has degree ''n''. If this is a sequence of orthogonal polynomials for some positive weight function then it satisfies a 3-term recurrence relation. Favard's theorem is roughly a converse of this, and states that if these polynomials satisfy a 3-term recurrence relation of the form : y_= (x-c_n)y_n - d_n y_ for some numbers ''c''''n'' and ''d''''n'', then the polynomials ''y''''n'' form an orthogona ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Favard Constant
In mathematics, the Favard constant, also called the Akhiezer–Krein–Favard constant, of order ''r'' is defined as :K_r = \frac \sum\limits_^ \left \frac \right. This constant is named after the French mathematician Jean Favard, and after the Soviet mathematicians Naum Akhiezer and Mark Krein. Particular values :K_0 = 1. :K_1 = \frac. Uses This constant is used in solutions of several extremal problems, for example * Favard's constant is the sharp constant in Jackson's inequality for trigonometric polynomials * the sharp constants in the Landau–Kolmogorov inequality In mathematics, the Landau–Kolmogorov inequality, named after Edmund Landau and Andrey Kolmogorov, is the following family of interpolation inequalities between different derivatives of a function ''f'' defined on a subset ''T'' of the real ... are expressed via Favard's constants * Norms of periodic perfect splines. References * Mathematical constants {{mathanalysis-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Favard–Akhiezer–Krein Theorem
In approximation theory, Jackson's inequality is an inequality bounding the value of function's best approximation by algebraic or trigonometric polynomials in terms of the modulus of continuity or modulus of smoothness of the function or of its derivatives. Informally speaking, the smoother the function is, the better it can be approximated by polynomials. Statement: trigonometric polynomials For trigonometric polynomials, the following was proved by Dunham Jackson: :Theorem 1: If f: ,2\pito \C is an r times differentiable periodic function such that :: \left , f^(x) \right , \leq 1, \qquad x\in ,2\pi :then, for every positive integer n, there exists a trigonometric polynomial T_ of degree at most n-1 such that ::\left , f(x) - T_(x) \right , \leq \frac, \qquad x\in ,2\pi :where C(r) depends only on r. The Akhiezer– Krein– Favard theorem gives the sharp value of C(r) (called the Akhiezer–Krein–Favard constant): : C(r) = \frac \sum_^\infty \frac ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Peyrat-la-Nonière
Peyrat-la-Nonière (; oc, Peirat la Noniera) is a commune in the Creuse department in the Nouvelle-Aquitaine region in central France. Geography An area of farming and forestry, lakes and streams comprising the village and several hamlets situated by the banks of the river Voueize, some north of Aubusson, at the junction of the D4, D54 and the D993 roads. The river Tardes forms most of the commune's eastern border. Population Sights * The church, dating from the twelfth century. *The remains of the abbey de Bonlieu. * The castle of Chiroux. * The two châteaux, du Mazeau and la Voreille. * A sixteenth-century chapel. * An ancient stone bridge over the river Tardes. See also *Communes of the Creuse department The following is a list of the 256 communes of the Creuse department of France. The communes cooperate in the following intercommunalities (as of 2020): [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
