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New approximation inequalities for circular functions

In this paper, we obtain some improved exponential approximation inequalities for the functions [Formula: see text] and [Formula: see text] , and we prove them by using the properties of Bernoulli numbers and new criteria for the monotonicity of quotient of two power series.

Detalles Bibliográficos
Autores principales: Zhu, Ling, Nenezić, Marija
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6244724/
https://www.ncbi.nlm.nih.gov/pubmed/30839836
http://dx.doi.org/10.1186/s13660-018-1910-9
Descripción
Sumario:In this paper, we obtain some improved exponential approximation inequalities for the functions [Formula: see text] and [Formula: see text] , and we prove them by using the properties of Bernoulli numbers and new criteria for the monotonicity of quotient of two power series.