scholarly journals Hermite-Hadamard-Fejér inequalities for double integrals

2021 ◽  
Vol 70 (1) ◽  
pp. 100-116
Author(s):  
Hüseyin BUDAK ◽  
Mehmet Zeki SARIKAYA
Keyword(s):  
Double Integrals

A Characterization of Bergman Spaces on the Unit Ball of ℂn. II

2012 ◽  
Vol 55 (1) ◽  
pp. 146-152 ◽  
Author(s):  
Songxiao Li ◽  
Hasi Wulan ◽  
Kehe Zhu
Keyword(s):  
Holomorphic Function ◽  
Unit Ball ◽  
Bergman Space ◽  
Bergman Spaces ◽  
Weighted Bergman Space ◽  
Double Integrals

AbstractIt has been shown that a holomorphic function f in the unit ball of ℂn belongs to the weighted Bergman space , p > n + 1 + α, if and only if the function | f(z) – f(w)|/|1 – 〈z, w〉| is in Lp( × , dvβ × dvβ), where β = (p + α – n – 1)/2 and dvβ(z) = (1 – |z|2)βdv(z). In this paper we consider the range 0 < p < n + 1 + α and show that in this case, f ∈ (i) if and only if the function | f(z) – f(w)|/|1 – hz, wi| is in Lp( × , dvα × dvα), (ii) if and only if the function | f(z)– f(w)|/|z–w| is in Lp( × , dvα × dvα). We think the revealed difference in the weights for the double integrals between the cases 0 < p < n + 1 + α and p > n + 1 + α is particularly interesting.

scholarly journals On the Generalized Weighted Integral Inequality for Double Integrals

2015 ◽  
Vol 61 (1) ◽  
pp. 169-179 ◽  
Author(s):  
Mehmet Zeki Sarikaya
Keyword(s):  
Integral Inequality ◽  
Independent Variables ◽  
Elementary Analysis ◽  
Weighted Integral ◽  
Function Of Two Variables ◽  
Two Independent Variables ◽  
Double Integrals

Abstract In this paper, we obtain weighted Montgomery’s identities for function of two variables and apply them to give new generalization weighted integral inequality for double integrals involving functions of two independent variables by using fairly elementary analysis.

Approximation of double integrals of analytic functions of two complex variables

Computing ◽  
1986 ◽  
Vol 37 (4) ◽  
pp. 357-364 ◽  
Author(s):  
B. P. Acharya ◽  
T. Mohapatra
Keyword(s):  
Analytic Functions ◽  
Complex Variables ◽  
Double Integrals

Double Integrals

1995 ◽  
pp. 155-163
Author(s):  
Seán Dineen
Keyword(s):  
Double Integrals

scholarly journals On Some Double Integrals Involving H -Function of Two Variables and Spheroidal Functions

2014 ◽  
Vol 10 (4) ◽  
pp. 55-62
Author(s):  
Yashwant Singh ◽  
◽  
Harmendra Kumar Mandia
Keyword(s):  
Function Of Two Variables ◽  
Double Integrals

scholarly journals Implementation of Preisach-Krasnoselskii Hysteresis Model with the Use of Artificial Neural Networks

2021 ◽  
Author(s):  
Zhao Wang
Keyword(s):  
Neural Networks ◽  
Magnetic Hysteresis ◽  
Feedforward Neural Networks ◽  
Hysteresis Model ◽  
Electromagnetic Devices ◽  
Hysteresis Modeling ◽  
Simulation Results ◽  
And Performance ◽  
Hysteresis Phenomena ◽  
Double Integrals

Accurate modeling of hysteresis is essential for both the design and performance evaluation of electromagnetic devices. This project proposes the use of feedforward meural networks to implement an accurate magnetic hysteresis model based on the mathematical difinition provided by the Preisach-Krasnoselskii (P-K) model. Feedforward neural networks are a linear association networks that relate the ouput patterns to input patterns. By introducing the multi-layer feedforward neural networks make the hysteresis modeling accurate without estimation of double integrals. Simulation results provide the detailed illustrations. The comparisons with the experiments show that the proposed approach is able to satisfactorily reproduce many features of obsereved hysteresis phenomena an in turn can be used for many applications of interest.

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