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Radical Convex Functions [PDF]
to appear in Mediterr.
Mohammad Sababheh, Hamid Reza Moradi
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Root Function and Convex Function
Many authors [1], [2], [3], [4] considered the problems under different weak conditions which imply the continuity of the functions. In this section, we will consider convex functions on a commutative topological group with a root function.
Bilgezadeh, A., Pellong, C.
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Convex Defining Functions for Convex Domains [PDF]
21 ...
Herbig, Anne-Katrin, McNeal, Jeffery D.
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Schur-Convexity of Averages of Convex Functions [PDF]
The object is to give an overview of the study of Schur-convexity of various means and functions and to contribute to the subject with some new results. First, Schur-convexity of the generalized integral and weighted integral quasi-arithmetic mean is studied.
Franjić Iva +3 more
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In the frame of fractional calculus, the term convexity is primarily utilized to address several challenges in both pure and applied research. The main focus and objective of this review paper is to present Hermite–Hadamard (H-H)-type inequalities ...
Muhammad Tariq +2 more
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Fractional Ostrowski-type Inequalities via $(\alpha,\beta,\gamma,\delta)-$convex Function [PDF]
In this paper, we are introducing for the first time a generalized class named the class of $(\alpha,\beta,\gamma,\delta)-$convex functions of mixed kind.
Ali Hassan +3 more
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On φ-convexity of convex functions
The authors construct a non-trivial set \(\Phi\) of extended-real valued functions on \(R^n\) containing all affine functions, such that an extended-real valued function defined on \(R^n\) is convex if and only if it is \(\Phi\)-convex, i.e., it is the pointwise supremum of some subset of \(\Phi\). They also prove a new sandwich theorem.
Martínez-Legaz, Juan-Enrique +1 more
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Convex relaxations of componentwise convex functions
Published by Elsevier Science, Amsterdam [u.a.]
Najman, Jaromil +2 more
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Sharp Inequalities of Ostrowski Type for Convex Functions Defined on Linear Spaces and Application [PDF]
An Ostrowski type inequality for convex functions defined on linear spaces is generalised. Some inequalities which improve the Hermite–Hadamard type inequality for convex functions defined on linear spaces are derived using the obtained result.
Dragomir, Sever S +2 more
core +1 more source
Convex Functions in ACL2(r) [PDF]
This paper builds upon our prior formalisation of R^n in ACL2(r) by presenting a set of theorems for reasoning about convex functions. This is a demonstration of the higher-dimensional analytical reasoning possible in our metric space formalisation of R ...
Carl Kwan, Mark R. Greenstreet
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