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A series expansion of a logarithmic expression and a decreasing property of the ratio of two logarithmic expressions containing cosine

Open Mathematics, 2023
In this study, by virtue of a derivative formula for the ratio of two differentiable functions and with aid of a monotonicity rule, the authors expand a logarithmic expression involving the cosine function into the Maclaurin power series in terms of ...
Li Yan-Fang, Qi Feng
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Extensions of Simpson’s Inequality via Nonnegative Weight Functions and Fractional Operators

Advances in Mathematical Physics
MSC2020 Classification: 26A09, 26D10, 26D15 ...
Hasan Öğünmez, Mehmet Zeki Sarikaya
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Monotonicity, convexity, and Maclaurin series expansion of Qi's normalized remainder of Maclaurin series expansion with relation to cosine

Open Mathematics
In this article, the authors introduce Qi’s normalized remainder of the Maclaurin series expansion of Qi’s normalized remainder for the cosine function.
Pei Wei-Juan, Guo Bai-Ni
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Floor, ceiling and the space between

Annals of the West University of Timisoara: Mathematics and Computer Science
Motivated by a question on the ranges of the commutators of dilated floor functions in [10], together with a related problem in [3], we investigate the precise ranges of certain generalized polynomials dependent on a real parameter. Our analysis requires
Bényi Árpád, Ćurgus Branko
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Analytic real algebras. [PDF]

Springerplus, 2016
Seo YJ, Kim YH.
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