Results 71 to 80 of about 303 (160)
Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.Abstract In this paper, we extend the theory of minimal limit key polynomials of valuations on the polynomial ring K[x]$K[x]$. Minimal key polynomials are useful to describe, for instance, the defect of an extension of valued fields. We use the theory of cuts on ordered abelian groups to show that the previous results on bounded sets of key polynomials
Enric Nart, Josnei Novacoski
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High order Ostrowski type inequalities
Applied Mathematics Letters, 2007 By using a generalized Euler type identity and the way of analysis, the Ostrowski inequality is extended for high-order derivatives. Some of the inequalities produced are sharp. Some applications to trapezoidal and mid-point rules are given. For some particular integers, some estimates are given with respect to \(L_\infty\)-norm.
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On Ostrowski-Type Inequalities via Strong s-Godunova-Levin Functions
Journal of New Theory, 2021 In this paper, we first introduce a new class of convex functions called strong s-Godunova-Levin functions, which encompass the strong Godunova-Levin, s-Godunova-Levin, and Godunova-Levin function classes. By relying on the identity given by Cerone et al.
Assia Azaizia, Badreddine Meftah
doaj
Multivariate fractional Ostrowski type inequalities
Computers & Mathematics with Applications, 2007 AbstractOptimal upper bounds are given for the deviation of a value of a multivariate function of a fractional space from its average, over convex and compact subsets of RN,N≥2. In particular we work over rectangles, balls and spherical shells. These bounds involve the supremum and L∞ norms of related multivariate fractional derivatives of the function
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Generalizations of Steffensen’s inequality via two-point Abel-Gontscharoff polynomial
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 Using two-point Abel-Gontscharoff interpolating polynomial some new generalizations of Steffensen’s inequality for n−convex functions are obtained and some Ostrowski-type inequalities related to obtained generalizations are given.
Pečarić Josip +2 more
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On Ostrowski type inequalities for F-convex function
AIP Conference Proceedings, 2017 In this study, we firstly obtain some Ostrowski type inequalities for the function whose derivatives absolute values are F-convex defined by B. Samet. Moreover, we give some previous works with the special cases of the mappings F.
Budak, Hüseyin, Sarıkaya, Mehmet Zeki
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Popoviciu type inequalities for n-convex functions via extension of Montgomery identity
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 Extension of Montgomery's identity is used in derivation of Popoviciu-type inequalities containing sums , where f is an n-convex function. Integral analogues and some related results for n-convex functions at a point are also given, as well as Ostrowski ...
Khan Asif R. +2 more
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Study of Results of Katugampola Fractional Derivative and Chebyshev Inequailities. [PDF]
Int J Appl Comput Math, 2022 Nazeer N, Asjad MI, Azam MK, Akgül A.
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Communications in Advanced Mathematical Sciences, 2019 In this paper we establish some Ostrowski and trapezoid type inequalities for the $k$-$g$-fractional integrals of functions of bounded variation. Applications for mid-point and trapezoid inequalities are provided as well.
Sever Dragomir
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A Perturbed Version of General Weighted Ostrowski Type Inequality and Applications
International Journal of Analysis and Applications, 2018 The main purpose of this paper is to derive some new generalizations of weighted Ostrowski type inequalities. The new established inequalities are carried out for a twice differentiable mapping in different L p spaces.
Waseem Ghazi Alshanti
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