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n-SUBDIFFERENTIABILITY OF n-CONVEX FUNCTIONS
В работе изучаются n-выпуклые функции. В основном изучаются четыре типа n-выпуклых функцийполунепрерывные снизу n-выпуклые функции, простые n-выпуклые, n(A)-сублинейные и n-сублинейные функции. Рассматриваются также n-выпуклые функции, которые являются поточечной верхней гранью некоторого непустого семейства n-аффинных, n(A)-аффинных, n-линейных и n(A)-openaire +1 more source
Estimates of derivatives ofn-convex functions
Journal of Mathematical Sciences, 1998See the review in Zbl 0898.30012.
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Splicing n-Convex Functions using Splines
Canadian Mathematical Bulletin, 1980AbstractIt is proved that a regular piecewise n-convex function differs from an n-convex function only by a polynomial spline of degree n - 1. The argument is given in terms of Peano and de la Vallée Poussin derivatives.
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Popoviciu type inequalities for n-convex functions via extension of weighted Montgomery identity
Studia Universitatis Babes-Bolyai MatematicaIn this article, we derive the Popoviciu-type inequalities by using the weighted version of the extension of Montgomery’s identity and Green functions. Some results for n-convex functions at a point are also obtained. Besides that, some Ostrowski-type inequalities are also presented, which are interrelated with the obtained inequalities.
Asif R. Khan, Hira Nabi, Josip Pecaric
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Some Conditions for n-Convex Functions
Proceedings of the American Mathematical Society, 1981openaire +1 more source
Continuous Linear Transformations of n-Convex Functions
Real Analysis Exchange, 1985openaire +1 more source
ON SHERMAN'S TYPE INEQUALITIES FOR n-CONVEX FUNCTION WITH APPLICATIONS
2014New generalizations of Sherman's inequality for convex functions of higher order are obtained by using Hermite's interpolating polynomials and Green's function. The Ostrowski and Gruss type bounds for the identity related to generalized Sherman's inequality are established. Some applications are discussed.
KHAN, M. Adil +2 more
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Hadamard-type inequalities for s-convex functions
Applied Mathematics and Computation, 2007Milica Klaricic Bakula +1 more
exaly
Janowski Type q-Convex and q-Close-to-Convex Functions Associated with q-Conic Domain
Mathematics, 2020Saqib Hussain +2 more
exaly
Remarks on strongly convex functions
Aequationes Mathematicae, 2010Nelson Merentes, Kazimierz Nikodem
exaly

