Approximation of Sondow’s generalized-Euler-constant function on the interval [−1, 1]

2010 ◽  
Vol 56 (1) ◽  
pp. 65-76 ◽  
Author(s):  
Vito Lampret
Keyword(s):  
Constant Function ◽  
Euler Constant

scholarly journals Some remarks on the stability of the Cauchy equation and completeness

2021 ◽  
Author(s):  
Harald Fripertinger ◽  
Jens Schwaiger
Keyword(s):  
Normed Space ◽  
Additive Function ◽  
Functional Equations ◽  
Constant Function ◽  
Cauchy Equation ◽  
Cauchy Difference ◽  
International Conference ◽  
The Difference ◽  
The Stability ◽  
The Given

AbstractIt was proved in Forti and Schwaiger (C R Math Acad Sci Soc R Can 11(6):215–220, 1989), Schwaiger (Aequ Math 35:120–121, 1988) and with different methods in Schwaiger (Developments in functional equations and related topics. Selected papers based on the presentations at the 16th international conference on functional equations and inequalities, ICFEI, Bȩdlewo, Poland, May 17–23, 2015, Springer, Cham, pp 275–295, 2017) that under the assumption that every function defined on suitable abelian semigroups with values in a normed space such that the norm of its Cauchy difference is bounded by a constant (function) is close to some additive function, i.e., the norm of the difference between the given function and that additive function is also bounded by a constant, the normed space must necessarily be complete. By Schwaiger (Ann Math Sil 34:151–163, 2020) this is also true in the non-archimedean case. Here we discuss the situation when the bound is a suitable non-constant function.

scholarly journals The parameterized-Euler-constant functionγα(z)

2013 ◽  
Vol 133 (1) ◽  
pp. 1-11 ◽  
Author(s):  
Li-meng Xia
Keyword(s):  
Euler Constant

BETTER BOUNDS IN CHEN’S INEQUALITIES FOR THE EULER CONSTANT

2015 ◽  
Vol 92 (1) ◽  
pp. 94-97 ◽  
Author(s):  
JENICA CRINGANU
Keyword(s):  
Euler Constant

In this paper we improve the inequalities obtained by Chen in 2009 for the Euler–Mascheroni constant.

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