Results 191 to 200 of about 49,660 (224)

Exponential convergence of distributed primal–dual convex optimization algorithm without strong convexity

open access: yesAutomatica, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shu Liang, Le Yi Wang
exaly   +4 more sources

Exponentially convex univalent functions

Complex Variables, Theory and Application: An International Journal, 1997
In this article we introduce the tamily e(α), α ∈ C. of α-exponentially convex functions f as normalized univalent functions in the unit disk D such that e αf is convex univalent. Out study was suggested by a formal and concrete relationship between e(α) and the class of convex functions of bounded type, defined by Professor A. W. Goodman.
Juan H. Arango   +2 more
openaire   +1 more source

Steffensen inequality, higher order convexity and exponential convexity

Rendiconti del Circolo Matematico di Palermo (1952 -), 2014
We present transition of Steffensen inequality from monotone functions to higher order convexity. After we get analogous inequalities to Steffensen we construct a linear functionals that generates exponentially convex functions.
Pečarić, Josip   +2 more
openaire   +2 more sources

Means for Divided Differences and Exponential Convexity

Mediterranean Journal of Mathematics, 2011
In this paper we obtain two means for divide differences using two majorization type results where one is related with Schur convexity. We examine their monotonicity property using exponentially convex functions.
Pečarić, Josip   +2 more
openaire   +4 more sources

Relative Strongly Exponentially Convex Functions

2020
In this paper, we define and consider some new concepts of the strongly exponentially convex functions involving an arbitrary negative bifunction. Some properties of these strongly exponentially convex functions are investigated under suitable conditions.
Muhammad Aslam Noor   +2 more
openaire   +1 more source

Convexity preserving interpolation with exponential splines

Computing, 1986
Sufficient and necessary conditions are derived under which interpolating splines are convex if the data set is in convex position. In order to select one of the interpolants, by means of a well-known objective function a quadratic optimization problem is stated which can be solved effectively by passing to a dual program.
Heß, Walter, Schmidt, Jochen W.
openaire   +1 more source

Applications of exponential convexity

Journal of the Orissa Mathematical Society, 2016
In this paper some applications of exponential convexity are given.
Jakšetić, Julije, Pečarić, Josip
openaire   +2 more sources

Exponential Convexity Method

Journal of convex analysis, 2013
In this paper generalized Stolarsky and related means are recognized as an application of particulary defined linear functional on family of n-convex function. However, this approach leads to a more general method of constructing exponentially convex functions and means of Cauchy type.
Pečarić, Josip, Jakšetić, Julije
openaire   +3 more sources

Properties of Exponentially m-Convex Functions

2020
In this paper, we define and introduce some new concepts of the exponentially m-convex functions involving a fixed constant m ∈ (0, 1]. We investigate several properties of the exponentially m-convex functions and discuss their relations with convex functions. Optimality conditions are characterized by a class of variational inequalities.
Muhammad Aslam Noor, Khalida Inayat Noor
openaire   +1 more source

Harmonic Exponential Convex Functions and Inequalities

2019
In this chapter, we intend to introduce and study a new class of harmonic exponential h-convex functions. We show that this class includes several new and previously known classes of harmonic convex functions. We derive several Hermite–Hadamard type integral inequalities. Numerous special cases are also discussed.
Muhammad Uzair Awan   +2 more
openaire   +1 more source

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