Results 21 to 30 of about 1,126,227 (356)
Conditionally approximately convex functions
Demonstratio Mathematica, 2016 Let X be a real normed space, V be a subset of X and α: [0, ∞) → [0, ∞] be a nondecreasing function. We say that a function f : V → [−∞, ∞] is conditionally α-convex if for each convex combination ∑i=0ntivi$\sum\nolimits_{i = 0}^n {t_i v_i }$ of ...
Najdecki Adam, Tabor Józef
doaj +1 more source
On φ-convexity of convex functions
Linear Algebra and its Applications, 1998 AbstractWe construct a non-trivial set φ of extended-real valued functions on Rn, containing all affine functions, such that an extended-real valued function f on Rn is convex if and only if it is φ-convex in the sense of Dolecki and Kurcyusz, i.e., the (pointwise) supremum of some subset of φ. Also, we prove a new sandwich theorem.
Ivan Singer +1 more
openaire +2 more sources
DC Proximal Newton for Non-Convex Optimization Problems [PDF]
, 2015 We introduce a novel algorithm for solving learning problems where both the loss function and the regularizer are non-convex but belong to the class of difference of convex (DC) functions.
Flamary, Remi +2 more
core +4 more sources
Uniformly starlike functions and uniformly convex functions related to the Pascal distribution [PDF]
Mathematica Bohemica, 2021 In this article, we aim to find sufficient conditions for a convolution of analytic univalent functions and the Pascal distribution series to belong to the families of uniformly starlike functions and uniformly convex functions in the open unit disk ...
Gangadharan Murugusundaramoorthy +1 more
doaj +1 more source
Robust Adaptive Beamforming for General-Rank Signal Model with Positive Semi-Definite Constraint via POTDC [PDF]
, 2012 The robust adaptive beamforming (RAB) problem for general-rank signal model with an additional positive semi-definite constraint is considered. Using the principle of the worst-case performance optimization, such RAB problem leads to a difference-of ...
Khabbazibasmenj, Arash +1 more
core +1 more source
On α-convex functions of order β
International Journal of Mathematics and Mathematical Sciences, 1997 In 1969 Mocanu [1] introduced and studied a new class of analytic functions consisting of α-convex functions. Many mathematicians have studied and shown the properties of this class.
Seiichi Fukui
doaj +1 more source
Demonstratio Mathematica, 2014 Some new inequalities of the Ostrowski type for twice differentiable mappings whose derivatives in absolute value are s-convex in the second sense are ...
Set Erhan +2 more
doaj +1 more source
Some Estimates of k-Fractional Integrals for Various Kinds of Exponentially Convex Functions
Fractal and Fractional, 2023 In this paper, we aim to find unified estimates of fractional integrals involving Mittag–Leffler functions in kernels. The results obtained in terms of fractional integral inequalities are provided for various kinds of convex and related functions.
Yonghong Liu +3 more
doaj +1 more source
New inequalities for F-convex functions pertaining generalized fractional integrals [PDF]
Mathematica Moravica, 2020 In this paper, the authors, utilizing F-convex functions which are defined by B. Samet, establish some new Hermite-Hadamard type inequalities via generalized fractional integrals.
Budak Hüseyın +2 more
doaj +1 more source
On the Co-Ordinated Convex Functions [PDF]
Applied Mathematics & Information Sciences, 2014 In this paper we established new integral inequalities which are more general results for coordinated convex functions on the coordinates by using some classical inequalities.
Ozdemir, M. Emin +2 more
openaire +8 more sources