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Functions Preserving General Monotone Sequences
Analysis Mathematica, 2021A necessary and a sufficient condition are established to characterize those functions that map the positive general monotone sequences to themselves.
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Functions with general monotone Fourier coefficients
Russian Mathematical Surveys, 2021Abstract This paper is a study of trigonometric series with general monotone coefficients in the class with
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Generalized absolutely monotone functions
Israel Journal of Mathematics, 1965Sufficient 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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A general purpose fuzzy controller for monotone functions
IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 1996In 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.
C J, Wu, A H, Sung
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Piecewise General Monotone Functions and the Hardy–Littlewood Theorem
Proceedings of the Steklov Institute of Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Monotonicity and Inequalities for the Generalized Distortion Function
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