summability sentence in Hindi
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- A variety of general results concerning possible summability methods are known.
- Results about summability can also imply results about regular convergence.
- Summability conditions are discussed in detail in Boas & Buck.
- He was also interested in summability theory, infinite games and computable functions.
- Since then, mathematicians have explored many different summability methods for divergent series.
- Rainwater's theorem is an important result in summability theory and functional analysis.
- By nature, the definition of unconditional summability is insensitive to the order of the summation.
- :: That doesn't make much sense in the case of the summability criterion.
- Together with his student Simson Baron he started to describe the summability factors for double series.
- Was first considered by Euler, who applied summability methods to assign a finite value to the series.
- Her 1953 paper established several important results on summability kernels and is referenced in two textbooks on functional analysis.
- In physics, there are a wide variety of summability methods; these are discussed in greater detail in the article on regularization.
- In the 1950s, he laid the basis on systematic treatment of summability factors together with German mathematicians Alexander Peyerimhoff and Wolfgang Jurkat.
- The lack of convergence of the Fourier series has led to the introduction of a variety of summability methods in order to produce convergence.
- Then, provided that " f " obeys certain summability conditions, then it may be represented in terms of these polynomials as
- One of her most popular theorems called the Norlund Mean can be explained through absolute regularity, the summability of Cauchy products, and inverse properties.
- As shown above, holds under the much less restrictive assumption that " s " ( " t " ) is in Ces�ro summability.
- With the result of the previous section, this implies an equivalence between summability of and with methods that are linear, stable, and respect the Cauchy product.
- The Silverman Toeplitz theorem characterizes " matrix summability methods ", which are methods for summing a divergent series by applying an infinite matrix to the vector of coefficients.
- When " S " = "'N "'is the set of natural numbers, Lebesgue integrability, unordered summability and absolute convergence all coincide.
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