Convergence of Stirling's method under weak differentiability condition

2010 ◽  
Vol 34 (2) ◽  
pp. 168-175 ◽  
Author(s):  
S. K. Parhi ◽  
D. K. Gupta
Keyword(s):  
Differentiability Condition ◽  
Weak Differentiability

scholarly journals Weak differentiability for fractional maximal functions of general L functions on domains

2020 ◽  
Vol 368 ◽  
pp. 107144 ◽  
Author(s):  
João P.G. Ramos ◽  
Olli Saari ◽  
Julian Weigt
Keyword(s):  
Maximal Functions ◽  
Weak Differentiability

scholarly journals Uniformly weak differentiability of the norm and a condition of Vlasov

1976 ◽  
Vol 21 (4) ◽  
pp. 393-409 ◽  
Author(s):  
J. R. Giles
Keyword(s):  
Banach Space ◽  
Smoothness Condition ◽  
Dual Norm ◽  
Weak Differentiability

AbstractIn determining geometrical conditions on a Banach space under which a Chebychev set is convex, Vlasov (1967) introduced a smoothness condition of some interest in itself. Equivalent forms of this condition are derived and it is related to uniformly weak differentiability of the norm and rotundity of the dual norm.

C-Nodal Surfaces of Order Three

1983 ◽  
Vol 35 (1) ◽  
pp. 68-100
Author(s):  
Tibor Bisztriczky
Keyword(s):  
Nineteenth Century ◽  
Singular Point ◽  
Algebraic Surface ◽  
Partial Classification ◽  
Differentiability Condition ◽  
Nodal Surfaces

The problem of describing a surface of order three can be said to originate in the mid-nineteenth century when A. Cayley discovered that a non-ruled cubic (algebraic surface of order three) may contain up to twenty-seven lines. Besides a classification of cubics, not much progress was made on the problem until A. Marchaud introduced his theory of synthetic surfaces of order three in [9]. While his theory resulted in a partial classification of a now larger class of surfaces, it was too general to permit a global description. In [1], we added a differentiability condition to Marchaud's definition. This resulted in a partial classification and description of surfaces of order three with exactly one singular point in [2]-[5]. In the present paper, we examine C-nodal surfaces and thus complete this survey.

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