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Some New Simpson’s and Newton’s Formulas Type Inequalities for Convex Functions in Quantum Calculus
Mathematics, 2021 In this paper, using the notions of qκ2-quantum integral and qκ2-quantum derivative, we present some new identities that enable us to obtain new quantum Simpson’s and quantum Newton’s type inequalities for quantum differentiable convex functions.
Pimchana Siricharuanun +5 more
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Optimal stability of the Lagrange formula and conditioning of the Newton formula [PDF]
Journal of Approximation Theory, 2019 A pointwise condition number associated to a representation of an interpolation operator is introduced. It is proved that the Lagrange formula is optimal with respect to this conditioning. For other representations of the interpolation operator, an upper bound for the conditioning is derived.
Jesús M. Carnicer +2 more
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On Some Generalized Simpson’s and Newton’s Inequalities for (α, m)-Convex Functions in q-Calculus
Mathematics, 2021 In this paper, we first establish two right-quantum integral equalities involving a right-quantum derivative and a parameter m∈ 0,1. Then, we prove modified versions of Simpson’s and Newton’s type inequalities using established equalities for right ...
Ifra Bashir Sial +3 more
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Analysis of Student Misconceptions Using Digital Four-Tier Diagnostics Test on Newton's Law
Physics Education Research Journal, 2022 Research has been carried out on the analysis of student misconceptions using a digital four-tier diagnostic test in physics subjects for newton's law class VIII SMP Hasanuddin 05 Semarang.
Choirul Huda +2 more
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AppliedMath, 2023 In this work, we studied convergence rates using quotient convergence factors and root convergence factors, as described by Ortega and Rheinboldt, for Hestenes’ Gram–Schmidt conjugate direction method without derivatives.
Ivie Stein, Md Nurul Raihen
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Analogues of the Newton formulas for the block-symmetric polynomials on $\ell_p(\mathbb{C}^s)$
Karpatsʹkì Matematičnì Publìkacìï, 2020 The classical Newton formulas gives recurrent relations between algebraic bases of symmetric polynomials. They are true, of course, for symmetric polynomials on infinite-dimensional Banach sequence spaces.
V.V. Kravtsiv
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A rapidly convergent method for solving third-order polynomials
AIP Advances, 2022 We present a rapidly convergent method for solving cubic polynomial equations with real coefficients. The method is based on a power series expansion of a simplified form of Cardano’s formula using Newton’s generalized binomial theorem.
Ramón A. Fernández Molina +3 more
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Vacuum Energy, the Casimir Effect, and Newton’s Non-Constant
Universe, 2023 The idea of quantum mechanical vacuum energy contributing to the cosmological vacuum energy density is not new. However, despite the persisting cosmological constant problem, few investigations have focused on this subject.
Benjamin Koch +3 more
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School Science and Mathematics, 1974 Peer Reviewed ; http://deepblue.lib.umich.edu/bitstream/2027.42/75340/1/j.1949-8594.1974.tb08924.x ...
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