Results 11 to 20 of about 65,671 (295)

Monotonicity, convexity, and Maclaurin series expansion of Qi's normalized remainder of Maclaurin series expansion with relation to cosine

open access: yesOpen 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
doaj   +2 more sources

Monotonicity and Competitive Equilibrium in Cake-cutting

open access: yesEconomic Theory, 2018
We study the monotonicity properties of solutions in the classic problem of fair cake-cutting --- dividing a heterogeneous resource among agents with different preferences.
Segal-Halevi, Erel, Sziklai, Balázs
core   +3 more sources

L’Hôpital’s monotone rule, Gromov’s theorem, and operations that preserve the monotonicity of quotients

open access: yesPublications de l'Institut Mathematique, 2017
We study several operators T that when applied to both the numerator and denominator of an increasing, or decreasing, function u/v produce another increasing, or decreasing, function T(u)/T(v). We also give new proofs of the monotone form of L?Hopital?s rule and of Gromov?s theorem.
Estrada, Ricardo, Pavlović, Miroslav
openaire   +5 more sources

Drop out monotonic rules for sequencing situations [PDF]

open access: yesMathematical Methods of Operations Research, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fernández, C.   +3 more
openaire   +8 more sources

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

open access: yesOpen 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
doaj   +1 more source

A Series Expansion of a Logarithmic Expression and a Decreasing Property of the Ratio of Two Logarithmic Expressions Containing Sine

open access: yesMathematics, 2023
In the paper, by virtue of a derivative formula for the ratio of two differentiable functions and with the help of a monotonicity rule, the authors expand a logarithmic expression involving the sine function into the Maclaurin power series in terms of ...
Xin-Le Liu, Hai-Xia Long, Feng Qi
doaj   +1 more source

New properties for the Ramanujan R-function

open access: yesOpen Mathematics, 2022
In the article, we establish some monotonicity and convexity (concavity) properties for certain combinations of polynomials and the Ramanujan R-function by use of the monotone form of L’Hôpital’s rule and present serval new asymptotically sharp bounds ...
Cai Chuan-Yu   +3 more
doaj   +1 more source

Triple-adaptive subgradient extragradient with extrapolation procedure for bilevel split variational inequality

open access: yesJournal of Inequalities and Applications, 2023
This paper introduces a triple-adaptive subgradient extragradient process with extrapolation to solve a bilevel split pseudomonotone variational inequality problem (BSPVIP) with the common fixed point problem constraint of finitely many nonexpansive ...
Lu-Chuan Ceng   +3 more
doaj   +1 more source

Filtration of Non-Monotonic Rules for Fuzzy Rule Base Compression [PDF]

open access: yesInternational Journal of Computational Intelligence Systems, 2014
This paper proposes a rule base compression method for fuzzy systems. The method is based on filtration of rules with identical linguistic values for the output that are known as non-monotonic rules. The filtration removes the redundant computations in the fuzzy inference with respect to the crisp values of the inputs to the fuzzy system.
Gegov, Alexander   +2 more
openaire   +4 more sources

Some Inequalities for Generalized Hyperbolic Functions

open access: yesMoroccan Journal of Pure and Applied Analysis, 2020
In this paper, we establish several inequalities involving certain generalizations of the hyperbolic functions. The established results serve as generalizations of some known results in the literature.
Nantomah Kwara, Prempeh Edward
doaj   +1 more source

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