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Titlebook: Approximation Theory and Analytic Inequalities; Themistocles M. Rassias Book 2021 Springer Nature Switzerland AG 2021 mathematical analysi

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https://doi.org/10.1007/978-3-662-32546-9pe inequalities are established. We apply these inequalities to provide approximations for the integral of a real valued function. Approximations for some new weighted means of two positive numbers are also obtained.
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https://doi.org/10.1007/978-3-030-60622-0mathematical analysis; approximation theory; analytic inequalities; differential inequalities; integral
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978-3-030-60624-4Springer Nature Switzerland AG 2021
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https://doi.org/10.1007/978-3-662-32548-3In this paper, we prove the generalized Hyers–Ulam–Rassias stability of ternary cubic higher derivations by using a version of the fixed point theorem.
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https://doi.org/10.1007/978-3-662-32548-3In this paper, we will study Hyers–Ulam stability for Bernoulli differential equations, Riccati differential equations, and quasi-linear partial differential equations of first order, using Gronwall Lemma, following a method given by Rus.
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https://doi.org/10.1007/978-3-662-32548-3In the paper, we present the basic ideas in b-metric spaces (and b-normed spaces). The main result is the Schauder fixed point principle. For the proof, we use the method presented by Dugundji and Granas in their book [.].
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https://doi.org/10.1007/978-3-662-32548-3In this chapter, we provide several error bounds in approximating the . function . where ., . and . are positive numbers, with some simple quadrature rules of Beta-Taylor, Ostrowski and Trapezoid type.
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