Definition of Summable

1. Adjective. (mathematics of a function) Having a Lebesgue integral ¹

¹ Source: wiktionary.com

Definition of Summable

1. capable of being summed [adj]

Lexicographical Neighbors of Summable

sumbal
sumbals
sumbitch
sumbitches
sumbul
sumbuls
sumdel
sumithrin
sumless
summ'd
summa
summa bona
summa cum laude
summabilities
summability
summable (current term)
summae
summand
summands
summar
summaries
summarily
summariness
summarisable
summarisation
summarisations
summarise
summarised
summarises
summarising

Literary usage of Summable

Below you will find example usage of this term as found in modern and/or classical literature:

1. The Integration of Functions of a Single Variable by Godfrey Harold Hardy (1916)
"The series is not summable (logn, K) for any value of K, but is summable (log ... (7) The series 2cn is summable (log n, 1) to sum C if and only if (8) If ..."

2. An Introduction to the Theory of Infinite Series by Thomas John I'Anson Bromwich (1908)
"An important class of summable power-series. Suppose that Un = x" \ /(f ) f " dg, Jo Jo integral for un is also absolutely convergent. where /(£) is such ..."

3. Bulletin of the American Mathematical Society by American Mathematical Society (1919)
"If (1) is summable (R\r) to the sum s, it is summable (R\r') to the same sum s, for every r' greater than r. If (1) is summable (Rlr), where /„ = eAn, ..."

4. Studies on Divergent Series and Summability by Walter Burton Ford (1916)
"Absolutely convergent series are absolutely summable, but series that are merely convergent may not be absolutely summable.® 6. // but one of two series is ..."

5. Studies on Divergent Series and Summability by Walter Burton Ford (1916)
"Absolutely convergent series are absolutely summable, but series that are merely convergent may not be absolutely summable.33 6. If but one of two series is ..."

6. Proceedings of the London Mathematical Society by London Mathematical Society (1908)
"We note as a matter of minor detail that, if 2an is summable (Hk), it is also summable (Ck), and so 2an/n is summable (Ck) : but we cannot affirm that the ..."

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