The Experts below are selected from a list of 360 Experts worldwide ranked by ideXlab platform
Radko Mesiar - One of the best experts on this subject based on the ideXlab platform.
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pseudo fractional integral inequality of Chebyshev Type
Information Sciences, 2015Co-Authors: Hamzeh Agahi, Azizollah Babakhani, Radko MesiarAbstract:In this paper, we give a general version of Chebyshev Type inequality for pseudo-convolution integral on a semiring ( a , b ] , ? , ? ) . Our result is flexible enough to support both pseudo-integral and convolution integral, (e.g., fractional integral), thus closing the series of papers. It includes the corresponding results of Agahi et al. 1] as a special case. Finally, some concluding remarks are drawn and some open problems for further investigations are given.
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generalizations of the Chebyshev Type inequality for choquet like expectation
Information Sciences, 2013Co-Authors: Hamzeh Agahi, Adel Mohammadpour, Radko MesiarAbstract:This paper proves generalizations of the Chebyshev-Type inequality for Choquet-like expectation. Some previous results are obtained as corollaries.
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general Chebyshev Type inequalities for universal integral
Information Sciences, 2012Co-Authors: Hamzeh Agahi, Yao Ouyang, Radko Mesiar, Endre Pap, Mirjana StrbojaAbstract:A new inequality for the universal integral on abstract spaces is obtained in a rather general form. As two corollaries, Minkowski's and Chebyshev's Type inequalities for the universal integral are obtained. The main results of this paper generalize some previous results obtained for special fuzzy integrals, e.g., Choquet and Sugeno integrals. Furthermore, related inequalities for seminormed integral are obtained.
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Chebyshev Type inequalities for pseudo integrals
Nonlinear Analysis-theory Methods & Applications, 2010Co-Authors: Hamzeh Agahi, Radko Mesiar, Yao OuyangAbstract:Abstract Chebyshev Type inequalities for two classes of pseudo-integrals are shown. One of them concerning the pseudo-integrals based on a function reduces on the g -integral where pseudo-operations are defined by a monotone and continuous function g . Another one concerns the pseudo-integrals based on a semiring ( [ a , b ] , max , ⊙ ) , where ⊙ is generated. Moreover, a strengthened version of Chebyshev’s inequality for pseudo-integrals is proved.
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new general extensions of Chebyshev Type inequalities for sugeno integrals
International Journal of Approximate Reasoning, 2009Co-Authors: Hamzeh Agahi, Radko Mesiar, Yao OuyangAbstract:We provide new frameworks of Chebyshev Type inequalities for Sugeno integrals on abstract spaces.
Hamzeh Agahi - One of the best experts on this subject based on the ideXlab platform.
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comonotonic stochastic processes and generalized mean square stochastic integral with applications
Aequationes Mathematicae, 2017Co-Authors: Hamzeh Agahi, Milad YadollahzadehAbstract:The concept of monotonic stochastic processes was introduced by Skowronski [Aequationes mathematicae 44 (1992) 249–258]. In this paper, we introduce the concept of comonotonic stochastic processes. As an application, we propose the well-known Chebyshev Type inequality for two comonotonic stochastic processes via the generalized mean-square stochastic integral.
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pseudo fractional integral inequality of Chebyshev Type
Information Sciences, 2015Co-Authors: Hamzeh Agahi, Azizollah Babakhani, Radko MesiarAbstract:In this paper, we give a general version of Chebyshev Type inequality for pseudo-convolution integral on a semiring ( a , b ] , ? , ? ) . Our result is flexible enough to support both pseudo-integral and convolution integral, (e.g., fractional integral), thus closing the series of papers. It includes the corresponding results of Agahi et al. 1] as a special case. Finally, some concluding remarks are drawn and some open problems for further investigations are given.
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generalizations of the Chebyshev Type inequality for choquet like expectation
Information Sciences, 2013Co-Authors: Hamzeh Agahi, Adel Mohammadpour, Radko MesiarAbstract:This paper proves generalizations of the Chebyshev-Type inequality for Choquet-like expectation. Some previous results are obtained as corollaries.
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a generalization of the Chebyshev Type inequalities for sugeno integrals
Soft Computing, 2012Co-Authors: Hamzeh Agahi, Adel Mohammadpour, Mansour S VaezpourAbstract:In this paper, we give a generalization of the Chebyshev Type inequalities for Sugeno integral with respect to non-additive measures. The main results of this paper generalize most of the inequalities for Sugeno integral obtained by many researchers. Also, some conclusions are drawn and some problems for further investigations are given.
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general Chebyshev Type inequalities for universal integral
Information Sciences, 2012Co-Authors: Hamzeh Agahi, Yao Ouyang, Radko Mesiar, Endre Pap, Mirjana StrbojaAbstract:A new inequality for the universal integral on abstract spaces is obtained in a rather general form. As two corollaries, Minkowski's and Chebyshev's Type inequalities for the universal integral are obtained. The main results of this paper generalize some previous results obtained for special fuzzy integrals, e.g., Choquet and Sugeno integrals. Furthermore, related inequalities for seminormed integral are obtained.
Yao Ouyang - One of the best experts on this subject based on the ideXlab platform.
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general Chebyshev Type inequalities for universal integral
Information Sciences, 2012Co-Authors: Hamzeh Agahi, Yao Ouyang, Radko Mesiar, Endre Pap, Mirjana StrbojaAbstract:A new inequality for the universal integral on abstract spaces is obtained in a rather general form. As two corollaries, Minkowski's and Chebyshev's Type inequalities for the universal integral are obtained. The main results of this paper generalize some previous results obtained for special fuzzy integrals, e.g., Choquet and Sugeno integrals. Furthermore, related inequalities for seminormed integral are obtained.
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Chebyshev Type inequalities for pseudo integrals
Nonlinear Analysis-theory Methods & Applications, 2010Co-Authors: Hamzeh Agahi, Radko Mesiar, Yao OuyangAbstract:Abstract Chebyshev Type inequalities for two classes of pseudo-integrals are shown. One of them concerning the pseudo-integrals based on a function reduces on the g -integral where pseudo-operations are defined by a monotone and continuous function g . Another one concerns the pseudo-integrals based on a semiring ( [ a , b ] , max , ⊙ ) , where ⊙ is generated. Moreover, a strengthened version of Chebyshev’s inequality for pseudo-integrals is proved.
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new general extensions of Chebyshev Type inequalities for sugeno integrals
International Journal of Approximate Reasoning, 2009Co-Authors: Hamzeh Agahi, Radko Mesiar, Yao OuyangAbstract:We provide new frameworks of Chebyshev Type inequalities for Sugeno integrals on abstract spaces.
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on the Chebyshev Type inequality for seminormed fuzzy integral
Applied Mathematics Letters, 2009Co-Authors: Yao Ouyang, Radko MesiarAbstract:The Chebyshev Type inequality for seminormed fuzzy integral is discussed. The main results of this paper generalize some previous results obtained by the authors. We also investigate the properties of semiconormed fuzzy integral, and a related inequality for this Type of integral is obtained.
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general Chebyshev Type inequalities for sugeno integrals
Fuzzy Sets and Systems, 2009Co-Authors: Radko Mesiar, Yao OuyangAbstract:Chebyshev Type inequalities for the Sugeno integral on abstract spaces are studied in a rather general form, thus closing the series of papers on the topic dealing with special cases restricted to the real line and product operation.
Sunil Dutt Purohit - One of the best experts on this subject based on the ideXlab platform.
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certain Chebyshev Type integral inequalities involving hadamard s fractional operators
Abstract and Applied Analysis, 2014Co-Authors: Sotiris K Ntouyas, Sunil Dutt Purohit, Jessada TariboonAbstract:We establish certain new fractional integral inequalities for the differentiable functions whose derivatives belong to the space , related to the weighted version of the Chebyshev functional, involving Hadamard’s fractional integral operators. As an application, particular results have been also established.
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Chebyshev Type integral inequalities involving the fractional hypergeometric operators
Abstract and Applied Analysis, 2014Co-Authors: Dumitru Baleanu, Sunil Dutt PurohitAbstract:By making use of the fractional hypergeometric operators, we establish certain new fractional integral inequalities for synchronous functions which are related to the weighted version of the Chebyshev functional. Some consequent results and special cases of the main results are also pointed out.
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Chebyshev Type inequalities for the saigo fractional integrals and their q analogues
Journal of Mathematical Inequalities, 2013Co-Authors: Sunil Dutt Purohit, Ravinder Krishna RainaAbstract:The aim of the present paper is to obtain certain new integral inequalities involving the Saigo fractional integral operator. It is also shown how the various inequalities considered in this paper admit themselves of q-extensions which are capable of yielding various results in the theory of q-integral inequalities.
Jessada Tariboon - One of the best experts on this subject based on the ideXlab platform.
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some generalized riemann liouville k fractional integral inequalities
Journal of Inequalities and Applications, 2016Co-Authors: Praveen Agarwal, Jessada Tariboon, Sotiris K NtouyasAbstract:The focus of the present study is to prove some new Polya-Szego Type integral inequalities involving the generalized Riemann-Liouville k-fractional integral operator. These inequalities are used then to establish some fractional integral inequalities of Chebyshev Type.
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certain Chebyshev Type integral inequalities involving hadamard s fractional operators
Abstract and Applied Analysis, 2014Co-Authors: Sotiris K Ntouyas, Sunil Dutt Purohit, Jessada TariboonAbstract:We establish certain new fractional integral inequalities for the differentiable functions whose derivatives belong to the space , related to the weighted version of the Chebyshev functional, involving Hadamard’s fractional integral operators. As an application, particular results have been also established.