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Analytic Properties of Generalized Completely Convex Functions

SIAM Journal on Mathematical Analysis, 1977
The analytic character of real functions f in $C^\infty [a,b]$ which satisfy a certain positivity condition is studied. The condition is of the form $L^k f(x) \geqq 0$, $a \leqq x \leqq b$, $k = 0,1,2, \cdots $ ,where L is a Sturm-Liouville operator and $L^k $ is its kth iterate.
openaire   +2 more sources

Functions Generating Schur-Convex Sums

1987
This paper provides a representation theorem for functions f with Schur-convex sums $$\sum\nolimits_1^n {f(x_{^i } )}$$ .
openaire   +1 more source

Stability Analysis for Delayed Neural Networks via a Generalized Reciprocally Convex Inequality

IEEE Transactions on Neural Networks and Learning Systems, 2023
Hui-Chao Lin   +2 more
exaly  

A novel comprehensive analysis on generalized harmonically ψ ‐convex with respect to Raina's function on fractal set with applications

Mathematical Methods in the Applied Sciences, 2023
Yu-Ming Chu, Saima Rashid, Jagdev Singh
exaly  

On parameterized inequalities of Ostrowski and Simpson type for convex functions via generalized fractional integrals

Mathematical Methods in the Applied Sciences, 2021
Hüseyin Budak   +2 more
exaly  

A Generalized Hopfield Network for Nonsmooth Constrained Convex Optimization: Lie Derivative Approach

IEEE Transactions on Neural Networks and Learning Systems, 2016
Chaojie Li, Xinghuo Yu, Tingwen Huang
exaly  

Constrained Quaternion-Variable Convex Optimization: A Quaternion-Valued Recurrent Neural Network Approach

IEEE Transactions on Neural Networks and Learning Systems, 2020
Yang Liu, Jian-quan Lu, Jinde Cao
exaly  

On Some Generalized Polyhedral Convex Constructions

Numerical Functional Analysis and Optimization, 2018
Nguyen Ngoc Luan, Nguyen Dong Yen
exaly  

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