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Implications Generated by Triples of Monotone Functions

2013
In this paper we deal with fuzzy implications generated via triples of monotone functions f,g,h. This idea has been presented for the first time at the IPMU 2012 conference, where we have introduced the generating formula and studied some special cases of these fuzzy implications. In our contribution we further develop this concept and study properties
Dana Hlinená   +2 more
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Generalized absolutely monotone functions

Israel Journal of Mathematics, 1965
Sufficient conditions for generalized absolutely monotone functions to possess a Taylor-type expansion in terms of the corresponding Extended Tchebycheff systems were found by Karlin and Ziegler. The question of necessary conditions, however, was left open.
Karlin, S., Ziegler, Z.
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Functions with general monotone Fourier coefficients

Russian Mathematical Surveys, 2021
Abstract This paper is a study of trigonometric series with general monotone coefficients in the class with
Belov, Aleksandr S.   +2 more
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Monotonicity and inequalities related to the generalized inverse Lemniscate functions

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yin, Li, Lin, Xiu Li
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Piecewise General Monotone Functions and the Hardy–Littlewood Theorem

Proceedings of the Steklov Institute of Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dyachenko, M. I., Tikhonov, S. Yu.
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A general purpose fuzzy controller for monotone functions

IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 1996
In this work, a general purpose fuzzy controller is proposed to handle the class of monotonic functions. A set of rules on the selection of fuzzy subsets and decision tables based on the mean-of-inversion (MOI) defuzzification method for guaranteed convergence and accuracy is given and proved.
Cheng-Juei Wu, A. H. Sung
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Generalized Invariant Monotonicity and Invexity of Non-differentiable Functions

Journal of Global Optimization, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
T. Jabarootian, Jafar Zafarani
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Generalized Convexity of Functions and Generalized Monotonicity of Set-Valued Maps

Journal of Optimization Theory and Applications, 1997
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Penot, J.-P., Quang, P. H.
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Generalized Quantum Hellinger Divergences Generated by Monotone Functions

Open Systems & Information Dynamics
In this paper we investigate quantum Hellinger type divergences which were studied by Bhatia-Gaubert-Jain (2019), Pitrik-Virosztek (2020), and Dinh-Lie-Osaka-Phan (2025). In particular, when [Formula: see text] is a convex function defined by the form [Formula: see text] ([Formula: see text]) and [Formula: see text] is an operator monotone function ...
Hiroyuki Osaka, Hiroki Shudo
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Generalized Theorems for the Monotonicity Theorem of Functions

2011
Derivative is highly important part of both elementary and higher mathematics, and is one of the most significant tools to research the properties of functions. Generally speaking, we often make use of the monotonicity of functions to prove some inequalities.
Xiangju Meng, Yu Cheng, Min Xu
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