The Experts below are selected from a list of 94116 Experts worldwide ranked by ideXlab platform
Abasalt Bodaghi - One of the best experts on this subject based on the ideXlab platform.
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Ulam stability of the reciprocal Functional Equation in non-Archimedean fields
2016Co-Authors: Abasalt Bodaghi, Pasupathi Narasimman, J. M. Rassia, K. RaviAbstract:In this paper, we introduce a new generalized reciprocal Functional Equation and study its Hyers-Ulam-Rassias stability. We also provide the counter examples for some cases, Ulam-Gavruta-Rassias stability and Hyers-Ulam-Rassias stability in non-Archimedean fields.
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Stability of a Quartic Functional Equation
TheScientificWorldJournal, 2014Co-Authors: Abasalt BodaghiAbstract:We obtain the general solution of the generalized quartic Functional Equation f(x + my) + f(x − my) = 2(7m − 9)(m − 1)f(x) + 2m2(m2 − 1)f(y)−(m − 1)2f(2x) + m2{f(x + y) + f(x − y)} for a fixed positive integer m. We prove the Hyers-Ulam stability for this quartic Functional Equation by the directed method and the fixed point method on real Banach spaces. We also investigate the Hyers-Ulam stability for the mentioned quartic Functional Equation in non-Archimedean spaces.
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Ulam Stability of a Quartic Functional Equation
Abstract and Applied Analysis, 2012Co-Authors: Abasalt Bodaghi, Idham Arif Alias, Mohammad Hosein GhahramaniAbstract:The oldest quartic Functional Equation was introduced by J. M. Rassias in (1999), and then was employed by other authors. The Functional Equation
John Michael Rassias - One of the best experts on this subject based on the ideXlab platform.
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SOLUTION AND STABILITY OF QUATTUORVIGINTIC Functional Equation IN INTUITIONISTIC FUZZY NORMED SPACES
Iranian Journal of Fuzzy Systems, 2018Co-Authors: Ghadir Sadeghi, Nazarianpoor, John Michael RassiasAbstract:In this paper, we investigate the general solution and the generalized Hyers-Ulam stability of a new Functional Equation satisfied by $f(x) = x^{24}$, which is called quattuorvigintic Functional Equation in intuitionistic fuzzy normed spaces by using the fixed point method.These results can be regarded as an important extension of stability results corresponding to Functional Equations on normed spaces.
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solution and stability of a mixed type cubic and quartic Functional Equation in quasi banach spaces
Abstract and Applied Analysis, 2009Co-Authors: Eshaghi M Gordji, John Michael Rassias, Somaye Zolfaghari, M B SavadkouhiAbstract:We obtain the general solution and the generalized Ulam-Hyers stability of the mixed type cubic and quartic Functional Equation in quasi-Banach spaces.
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stability of the jensen type Functional Equation in c algebras a fixed point approach
Abstract and Applied Analysis, 2009Co-Authors: Choonkil Park, John Michael RassiasAbstract:Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in
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ulam stability for the orthogonally general euler lagrange type Functional Equation
International Journal of Mathematics and Statistics, 2008Co-Authors: K. Ravi, M Arunuumar, John Michael RassiasAbstract:In this paper, J. M. Rassias introduces the general Euler Lagrange type Functional Equation of the form.
Emanuel Guariglia - One of the best experts on this subject based on the ideXlab platform.
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Riemann zeta fractional derivative—Functional Equation and link with primes
Advances in Difference Equations, 2019Co-Authors: Emanuel GuarigliaAbstract:This paper outlines further properties concerning the fractional derivative of the Riemann ζ function. The Functional Equation, computed by the introduction of the Grünwald–Letnikov fractional derivative, is rewritten in a simplified form that reduces the computational cost. Additionally, a quasisymmetric form of the aforementioned Functional Equation is derived (symmetric up to one complex multiplicative constant). The second part of the paper examines the link with the distribution of prime numbers. The Dirichlet η function suggests the introduction of a complex strip as a fractional counterpart of the critical strip. Analytic properties are shown, particularly that a Dirichlet series can be linked with this strip and expressed as a sum of the fractional derivatives of ζ . Finally, Theorem 4.3 links the fractional derivative of ζ with the distribution of prime numbers in the left half-plane.
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riemann zeta fractional derivative Functional Equation and link with primes
Advances in Difference Equations, 2019Co-Authors: Emanuel GuarigliaAbstract:This paper outlines further properties concerning the fractional derivative of the Riemann ζ function. The Functional Equation, computed by the introduction of the Grunwald–Letnikov fractional derivative, is rewritten in a simplified form that reduces the computational cost. Additionally, a quasisymmetric form of the aforementioned Functional Equation is derived (symmetric up to one complex multiplicative constant). The second part of the paper examines the link with the distribution of prime numbers. The Dirichlet η function suggests the introduction of a complex strip as a fractional counterpart of the critical strip. Analytic properties are shown, particularly that a Dirichlet series can be linked with this strip and expressed as a sum of the fractional derivatives of ζ. Finally, Theorem 4.3 links the fractional derivative of ζ with the distribution of prime numbers in the left half-plane.
M B Savadkouhi - One of the best experts on this subject based on the ideXlab platform.
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stability of a mixed type cubic quartic Functional Equation in non archimedean spaces
Applied Mathematics Letters, 2010Co-Authors: Eshaghi M Gordji, M B SavadkouhiAbstract:Abstract In this paper, we prove the Hyers–Ulam–Rassias stability of the mixed type cubic–quartic Functional Equation f ( x + 2 y ) + f ( x − 2 y ) = 4 ( f ( x + y ) + f ( x − y ) ) − 24 f ( y ) − 6 f ( x ) + 3 f ( 2 y ) in non-Archimedean normed spaces.
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solution and stability of a mixed type cubic and quartic Functional Equation in quasi banach spaces
Abstract and Applied Analysis, 2009Co-Authors: Eshaghi M Gordji, John Michael Rassias, Somaye Zolfaghari, M B SavadkouhiAbstract:We obtain the general solution and the generalized Ulam-Hyers stability of the mixed type cubic and quartic Functional Equation in quasi-Banach spaces.
Choonkil Park - One of the best experts on this subject based on the ideXlab platform.
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A general Functional Equation
Nonlinear functional analysis and applications, 2019Co-Authors: Heidar Kermanizadeh Fahandari, Hamid Majani, Sun Young Jang, Choonkil ParkAbstract:In this paper, we introduce the following Functional Equation (1.7) We achieve the general solution of the above Functional Equation (1.7).
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approximation on the reciprocal Functional Equation in several variables in matrix non archimedean random normed spaces
Advances in Difference Equations, 2015Co-Authors: Ali Ebadian, Somaye Zolfaghari, Saeed Ostadbashi, Choonkil ParkAbstract:In this paper, we investigate the generalized Hyers-Ulam stability of a reciprocal type Functional Equation in several variables in matrix non-Archimedean random normed spaces by direct and fixed point methods.
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stability of an additive cubic quartic Functional Equation
Advances in Difference Equations, 2009Co-Authors: M Eshaghigordji, Choonkil Park, S Kaboligharetapeh, Somayyeh ZolfaghariAbstract:In this paper, we consider the additive-cubic-quartic Functional Equation and prove the generalized Hyers-Ulam stability of the additive-cubic-quartic Functional Equation in Banach spaces.
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stability of the jensen type Functional Equation in c algebras a fixed point approach
Abstract and Applied Analysis, 2009Co-Authors: Choonkil Park, John Michael RassiasAbstract:Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in
