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**Creators:**
Aragón Artacho, Francisco J.
**Date:** 2007
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/933719
**Description:** Borwein’s norm duality theorem establishes the equality between the outer (inner) norm of a sublinear mapping and the inner (outer) norm of its adjoint mappings. In this note we provide an extended ve... More
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**Reviewed:**
**Date:** 1998
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/1037938
**Description:** Borwein and Wang show that the converse of the classical mean value theorem may fail generically.
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**Reviewed:**
**Date:** 2014
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/1295837
**Description:** Motivated by questions of algorithm analysis, we provide several distinct approaches to determining convergence and limit values for a class of linear iterations.
**Reviewed:**
**Date:** 2009
**Language:** eng
**Resource Type:** book
**Identifier:** http://hdl.handle.net/1959.13/917802
**Description:** Keith Devlin and Jonathan Borwein, two well-known mathematicians with expertise in different mathematical specialties but with a common interest in experimentation in mathematics, have joined forces t... More
**Date:** 2007
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/940746
**Description:** We provide concise series representations for various L-series integrals. Different techniques are needed below and above the abscissa of absolute convergence of the underlying L-series.
**Reviewed:**
**Date:** 1991
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/941084
**Description:** We give proofs of general results on the computation of fixed points of a continuous function or a Lipschitz function on the real line. We also show how completely these results can fail to hold in sp... More
**Reviewed:**
**Date:** 1988
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/941074
**Description:** This contribution highlights the progress made regarding Ramanujan's work on Pi since the centennial of his birth in 1987.
**Date:** 1986
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/941059
**Description:** Using the theory of the cubic modular equation we have discovered a remarkably simple class of cubically convergent algebraic iterations for π.
**Reviewed:**
**Date:** 1984
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/940986
**Description:** We show that the theory of elliptic integral transformations may be employed to construct iterative approximations for π of order p (p any prime). Details are provided for two, three and seven. The cu... More
**Reviewed:**
**Date:** 2008
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/940072
**Description:** We study several generalizations of the AGM continued fraction of Ramanujan inspired by a series of recent articles in which the validity of the AGM relation and the domain of convergence of the conti... More
**Reviewed:**
**Creators:**
Borwein, J. M.
**Date:** 1983
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/1042399
**Description:** We present a development of the Farkas lemma which is particularly suited for presentation in the classroom
**Reviewed:**
**Date:** 2015
**Keyword:** gamma function | log gamma funtion | Riemann zeta function | Tornheim-Weitten zeta function | integration
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/1314534
**Description:** Stimulated by earlier work by Moll and his coworkers (Amdeberhan et al., Proc. Am. Math. Soc., 139(2):535-545, 2010), we evaluate various basic log Gamma integrals in terms of partial derivatives of T... More
**Reviewed:**
**Date:** 2013
**Keyword:** gamma function | log-gamma function | Riemann zeta function | Tornheim–Weitten zeta function | integration
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/940016
**Description:** Stimulated by earlier work by Moll and his coworkers (Amdeberhan et al., Proc. Am. Math. Soc., 139(2):535-545, 2010), we evaluate various basic log Gamma integrals in terms of partial derivatives of T... More
**Reviewed:**
**Date:** 2010
**Keyword:** reflexive banach spaces | convex function | essentially smooth | essentially strictly convex | Fenchel duality | Fréchet differentiability | legendre function
**Language:** eng
**Resource Type:** journal article
**Identifier:** http://hdl.handle.net/1959.13/926663
**Description:** A 2001 article by Bauschke, Borwein and Combettes showed how to extend naturally the classical definitions of essential smoothness and essential strict convexity from functions on in a compatible fash... More
**Reviewed:**
**Date:** 2006
**Keyword:** Riemann zeta function | central binomial coefficients | series acceleration | hypergeometric series
**Resource Type:** journal article
**Identifier:** uon:6476
**Description:** We document the discovery of two generating functions for ζ(2n+2), analogous to earlier work for ζ(2n+1) and ζ(4n+3), initiated by Koecher and pursued further by Borwein, Bradley, and others.
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