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A New Approach to Involution in Fuzzy C★-Algebra via Functional Inequality and Python Implementation
Axioms, 2023 This article explores the stability of involution in fuzzy C★-algebras through the use of a functional inequality. We present an approach to obtaining an approximate involution in fuzzy C★-algebras by utilizing a fixed-point method. Moreover, for greater
Ehsan Movahednia, Manuel De la Sen
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On a Partial Fractional Hybrid Version of Generalized Sturm–Liouville–Langevin Equation
Fractal and Fractional, 2022 As we know one of the most important equations which have many applications in various areas of physics, mathematics, and financial markets, is the Sturm–Liouville equation.
Zohreh Heydarpour +4 more
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Testing functional inequalities [PDF]
Journal of Econometrics, 2011 60 pages, 4 ...
Sokbae Lee +2 more
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Generalized functional inequalities in Banach spaces
Moroccan Journal of Pure and Applied Analysis, 2021 In this paper, we solve and investigate the generalized additive functional inequalities ‖F(∑i=1nxi)-∑i=1nF(xi)‖≤‖F(1n∑i=1nxi)-1n∑i=1nF(xi)‖\left\| {F\left( {\sum\limits_{i = 1}^n {{x_i}} } \right) - \sum\limits_{i = 1}^n {F\left( {{x_i}} \right ...
Dimou H., Aribou Y., Kabbaj S.
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Extended Jensen’s Functional for Diamond Integral via Hermite Polynomial
Journal of Function Spaces, 2021 In this paper, with the help of Hermite interpolating polynomial, extension of Jensen’s functional for n-convex function is deduced from Jensen’s inequality involving diamond integrals.
Rabia Bibi +3 more
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Extended Jensen’s functional for diamond integral via Green’s function and Hermite polynomial
Journal of Inequalities and Applications, 2022 In this paper, with the help of Green’s function and Hermite interpolating polynomial, an extension of Jensen’s functional for n-convex functions is deduced from Jensen’s inequality involving diamond integrals.
Fazilat Bibi +3 more
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On a variant of Čebyšev’s inequality of the Mercer type
Journal of Inequalities and Applications, 2020 We consider the discrete Jensen–Mercer inequality and Čebyšev’s inequality of the Mercer type. We establish bounds for Čebyšev’s functional of the Mercer type and bounds for the Jensen–Mercer functional in terms of the discrete Ostrowski inequality ...
Anita Matković, Josip Pečarić
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Functional inequalities for the Bickley function [PDF]
Mathematical Inequalities & Applications, 2014 In this paper our aim is to deduce some complete monotonicity properties and functional inequalities for the Bickley function. The key tools in our proofs are the classical integral inequalities, like Chebyshev, Hölder-Rogers, Cauchy-Schwarz, Carlson and Grüss inequalities, as well as the monotone form of l'Hospital's rule.
Baricz, Árpád, Pogány, Tibor K.
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Fuzzy Stability of Additive Functional Inequalities with the Fixed Point Alternative
Journal of Inequalities and Applications, 2009 Using the fixed point method, we prove the generalized Hyers-Ulam stability of the Cauchy additive functional inequality and of the Cauchy-Jensen additive functional inequality in fuzzy Banach spaces.
Choonkil Park
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Hyers–Ulam Stability Results for a Functional Inequality of s,t-Type in Banach Spaces
Journal of Function Spaces, 2022 We introduce an additive s,t-functional inequality where s and t are nonzero complex numbers with 2s ...
Raweerote Suparatulatorn +1 more
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