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Ghasem Barid Loghmani - One of the best experts on this subject based on the ideXlab platform.
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Numerical solution of Fredholm Integral equations of the second kind by using Integral Mean value theorem II. High dimensional problems
Applied Mathematical Modelling, 2013Co-Authors: Mohammad Hossein Heydari, H. Navabpour, Zakieh Avazzadeh, Ghasem Barid LoghmaniAbstract:Abstract In this work, we generalize the numerical method discussed in [Z. Avazzadeh, M. Heydari, G.B. Loghmani, Numerical solution of Fredholm Integral equations of the second kind by using Integral Mean value theorem, Appl. math. modelling, 35 (2011) 2374–2383] for solving linear and nonlinear Fredholm Integral and integro-differential equations of the second kind. The presented method can be used for solving Integral equations in high dimensions. In this work, we describe the Integral Mean value method (IMVM) as the technical algorithm for solving high dimensional Integral equations. The main idea in this method is applying the Integral Mean value theorem. However the Mean value theorem is valid for multiple Integrals, we apply one dimensional Integral Mean value theorem directly to fulfill required linearly independent equations. We solve some examples to investigate the applicability and simplicity of the method. The numerical results confirm that the method is efficient and simple.
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numerical solution of fredholm Integral equations of the second kind by using Integral Mean value theorem
Applied Mathematical Modelling, 2011Co-Authors: Zakieh Avazzadeh, Mohammad Hossein Heydari, Ghasem Barid LoghmaniAbstract:In this paper, we present a new semi-analytical method for solving linear and nonlinear Fredholm Integral and integro-differential equations of the second kind and the systems including them. The main idea in this method is applying the Mean value theorem for Integrals. Some examples are presented to show the ability of the model. The results confirm that the method is very effective and simple.
Zakieh Avazzadeh - One of the best experts on this subject based on the ideXlab platform.
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Numerical solution of Fredholm Integral equations of the second kind by using Integral Mean value theorem II. High dimensional problems
Applied Mathematical Modelling, 2013Co-Authors: Mohammad Hossein Heydari, H. Navabpour, Zakieh Avazzadeh, Ghasem Barid LoghmaniAbstract:Abstract In this work, we generalize the numerical method discussed in [Z. Avazzadeh, M. Heydari, G.B. Loghmani, Numerical solution of Fredholm Integral equations of the second kind by using Integral Mean value theorem, Appl. math. modelling, 35 (2011) 2374–2383] for solving linear and nonlinear Fredholm Integral and integro-differential equations of the second kind. The presented method can be used for solving Integral equations in high dimensions. In this work, we describe the Integral Mean value method (IMVM) as the technical algorithm for solving high dimensional Integral equations. The main idea in this method is applying the Integral Mean value theorem. However the Mean value theorem is valid for multiple Integrals, we apply one dimensional Integral Mean value theorem directly to fulfill required linearly independent equations. We solve some examples to investigate the applicability and simplicity of the method. The numerical results confirm that the method is efficient and simple.
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numerical solution of fredholm Integral equations of the second kind by using Integral Mean value theorem
Applied Mathematical Modelling, 2011Co-Authors: Zakieh Avazzadeh, Mohammad Hossein Heydari, Ghasem Barid LoghmaniAbstract:In this paper, we present a new semi-analytical method for solving linear and nonlinear Fredholm Integral and integro-differential equations of the second kind and the systems including them. The main idea in this method is applying the Mean value theorem for Integrals. Some examples are presented to show the ability of the model. The results confirm that the method is very effective and simple.
Mohammad Hossein Heydari - One of the best experts on this subject based on the ideXlab platform.
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Numerical solution of Fredholm Integral equations of the second kind by using Integral Mean value theorem II. High dimensional problems
Applied Mathematical Modelling, 2013Co-Authors: Mohammad Hossein Heydari, H. Navabpour, Zakieh Avazzadeh, Ghasem Barid LoghmaniAbstract:Abstract In this work, we generalize the numerical method discussed in [Z. Avazzadeh, M. Heydari, G.B. Loghmani, Numerical solution of Fredholm Integral equations of the second kind by using Integral Mean value theorem, Appl. math. modelling, 35 (2011) 2374–2383] for solving linear and nonlinear Fredholm Integral and integro-differential equations of the second kind. The presented method can be used for solving Integral equations in high dimensions. In this work, we describe the Integral Mean value method (IMVM) as the technical algorithm for solving high dimensional Integral equations. The main idea in this method is applying the Integral Mean value theorem. However the Mean value theorem is valid for multiple Integrals, we apply one dimensional Integral Mean value theorem directly to fulfill required linearly independent equations. We solve some examples to investigate the applicability and simplicity of the method. The numerical results confirm that the method is efficient and simple.
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numerical solution of fredholm Integral equations of the second kind by using Integral Mean value theorem
Applied Mathematical Modelling, 2011Co-Authors: Zakieh Avazzadeh, Mohammad Hossein Heydari, Ghasem Barid LoghmaniAbstract:In this paper, we present a new semi-analytical method for solving linear and nonlinear Fredholm Integral and integro-differential equations of the second kind and the systems including them. The main idea in this method is applying the Mean value theorem for Integrals. Some examples are presented to show the ability of the model. The results confirm that the method is very effective and simple.
W. M. Shah - One of the best experts on this subject based on the ideXlab platform.
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Integral Mean Estimates for a Polynomial with Restricted Zeros
Trends in Mathematics, 2014Co-Authors: A. Liman, W. M. ShahAbstract:In this paper, we prove some Integral inequalities concerning polynomials and there by investigate the dependence of |P(Rz)-P(z)| on |P(z)| for |z|=1. These results not only generalize some well-known L(superscript q) (q＞1) inequalities, but also establish the validity of many in (0, 1) as well.
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Integral Mean estimates for polynomials whose zeros are within a circle
Journal of Inequalities and Applications, 2011Co-Authors: Gulshan Singh, W. M. ShahAbstract:Let P(z) be a polynomial of degree n having all its zeros in |z| ≤ K ≤ 1, then for each δ > 0, p > 1, q > 1 with 1 p + 1 q = 1 , Aziz and Ahmad (Glas Mat Ser III 31:229-237, 1996) proved that
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Integral Mean Estimates for Polynomials Whose Zeros are within a Circle
Applied Mathematics-a Journal of Chinese Universities Series B, 2011Co-Authors: Yash Paul, W. M. Shah, Gulshan SinghAbstract:Let p(z) be a polynomial of degree n having all its zeros in |z |≤ k; k ≤ 1, then for each r> 0, p> 1, q> 1 with p −1 + q −1 = 1, Aziz and Ahemad (1996) recently proved that n{ 2π 0 |p(e iθ )| r dθ} 1/r ≤{ 2π 0 |1+ke iθ | pr dθ} 1/pr { 2π 0 |p � (e iθ )| qr dθ} 1/qr .I n this paper, we extend the above inequality to the class of polynomials p(z) = anz n + n v=µ an−v z n−v ;1 ≤ µ ≤ n having all its zeros in |z |≤ k; k ≤ 1 and obtain a generalization as well as a refinement of the above result.
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Integral Mean Estimates for Polynomials Whose Zeros are within a Circle
Applied Mathematics, 2011Co-Authors: Yash Paul, W. M. Shah, Gulshan SinghAbstract:Let be a polynomial of degree n having all its zeros in , then for each , , with , Aziz and Ahemad (1996) proved that In this paper, we extend the above inequality to the class of polynomials , having all its zeros in , and obtain a generalization as well as refinement of the above result
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Some Integral Mean estimates for polynomials
Analysis in Theory and Applications, 2007Co-Authors: A. Aziz, W. M. ShahAbstract:In this paper we establish L ^ q inequalities for polynomials, which in particular yields interesting generalizations of some Zygmund-type inequalities.
Sever S Dragomir - One of the best experts on this subject based on the ideXlab platform.
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Approximation of the Integral Mean divergence and f-Divergence via Mean results
Mathematical and Computer Modelling, 2005Co-Authors: Pietro Cerone, Sever S DragomirAbstract:Results involving the approximation of the difference between two Integral Means are utilised to obtain bounds on the Integral Mean divergence and the f-divergence due to Csiszear. The current work does not restrict the functions involved to be convex. If convexity is imposed then the Integral Mean divergence is the Hermite-Hadamard divergence introduced by Shioya and Da-te.
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an inequality of ostrowski type via pompeiu s Mean value theorem
arXiv: Classical Analysis and ODEs, 2003Co-Authors: Sever S DragomirAbstract:An inequality providing some bounds for the Integral Mean via Pompeiu's Mean value theorem and applications for quadrature rules and special Means are given.
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Some Inequalities for the Integral Mean of Hölder Continuous Functions Defined on Disks in a Plane
2001Co-Authors: Neil S Barnett, Florica C. Cîrstea, Sever S DragomirAbstract:Some bounds for the derivation of the Integral Mean of a function defined on a compact disk from the value at the central point and related results are presented. A version of Ostrowski’s inequality for functions defined on the unit disk is also presented.