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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)-
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Estimates of derivatives ofn-convex functions

Journal of Mathematical Sciences, 1998
See the review in Zbl 0898.30012.
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Splicing n-Convex Functions using Splines

Canadian Mathematical Bulletin, 1980
AbstractIt 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 Matematica
In 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, 1981
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ON SHERMAN'S TYPE INEQUALITIES FOR n-CONVEX FUNCTION WITH APPLICATIONS

2014
New 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, 2007
Milica Klaricic Bakula   +1 more
exaly  

Janowski Type q-Convex and q-Close-to-Convex Functions Associated with q-Conic Domain

Mathematics, 2020
Saqib Hussain   +2 more
exaly  

Remarks on strongly convex functions

Aequationes Mathematicae, 2010
Nelson Merentes, Kazimierz Nikodem
exaly  

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