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Zorya Yakovlevna Shapiro (Russian: Зоря Яковлевна Шапиро; 7 December 1914 – 4 July 2013) was a Soviet mathematician, educator and translator.She is known for her contributions to representation theory and functional analysis in her collaboration with Israel Gelfand, and the Shapiro-Lobatinski condition in elliptical boundary value problems.
Shapero was born in Lynn, Massachusetts, on April 29, 1920. He and his family later moved to nearby Newton. He learned to play the piano as a child, and for some years was a pianist in dance orchestras. [1] With a friend, he founded the Hal Kenny Orchestra, a swing-era jazz band. He was more interested in classical music.
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Statement of the inequality. Suppose is a natural number and are positive numbers and: Then the Shapiro inequality states that. where and . For greater values of the inequality does not hold, and the strict lower bound is with . The initial proofs of the inequality in the pivotal cases [2] and [3] rely on numerical computations.
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