Results 61 to 70 of about 11,007,602 (126)

On the definition of a close-to-convex function

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1978
The standard definition of a close-to-convex function involves a complex numerical factor eiβ which is on occasion erroneously replaced by 1. While it is known to experts in the field that this replacement cannot be made without essentially changing the ...
A. W. Goodman, E. B. Saff
doaj   +1 more source

Hermite–Hadamard–Fejér Type Inequalities for p-Convex Functions via Fractional Integrals

open access: yesIranian Journal of Science and Technology, Transactions A: Science, 2017
In this paper, firstly, Hermite–Hadamard–Fejér type inequalities for p-convex functions in fractional integral forms are built. Secondly, an integral identity and some Hermite–Hadamard–Fejér type integral inequalities for p-convex functions in fractional
M. Kunt, I. Işcan
semanticscholar   +1 more source

SOME INEQUALITIES OF THE HERMITE HADAMARD TYPE FOR PRODUCT OF TWO FUNCTIONS

open access: yesJournal of New Theory, 2016
Abstaract−In this paper, we shall establish some new inequalities of the Hermite Hadamard type for product of two functions to belong to the class of s-convex functions and the class of h-convex functions.
Nguyen Ngoc Hue, Duong Quoc Huy
doaj  

A Note on Generalized Strongly p-Convex Functions of Higher Order

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2022
Generalized strongly -convex functions of higher order is a new concept of convex functions which introduced by Saleem et al. in 2020. The Schur type inequality for generalized strongly -convex functions of higher order also studied by them.
Corina Karim, Ekadion Maulana
doaj   +1 more source

A class of analytic functions related to convexity and functions with bounded turning

open access: yesAIMS Mathematics, 2020
In this paper, we define a new subclass k-Q(α) of analytic functions, which generalizes the class of k-uniformly convex functions. Various interesting relationships between k-Q(α) and the class B(δ) of functions with bounded turning are derived.
Zhi-Gang Wang   +4 more
doaj   +1 more source

Convex Analysis and Optimization with Submodular Functions: a Tutorial [PDF]

open access: yes, 2010
Set-functions appear in many areas of computer science and applied mathematics, such as machine learning, computer vision, operations research or electrical networks.
Bach, Francis
core   +3 more sources

Valuations on Convex Functions [PDF]

open access: yes, 2017
All continuous, SL$(n)$ and translation invariant valuations on the space of convex functions on ${\mathbb R}^n$ are completely classified.
A. Colesanti, M. Ludwig, F. Mussnig
semanticscholar   +1 more source

On GT-convexity and related integral inequalities

open access: yesAIMS Mathematics, 2020
In the paper, the authors introduce a new class of convex functions, GT-convex functions, establish some integral inequalities for GT-convex functions and for the product of two GT-convex functions, and give some applications to classical special means.
Shu-Hong Wang, Xiao-Wei Sun, Bai-Ni Guo
doaj   +1 more source

Inequalities of Fejer Type Related to Generalized Convex Functions

open access: yes, 2018
This paper deals with some Fejer type inequalities related to (η1, η2)-convex functions. In fact the difference between the right and middle part of Fejer inequality is estimated without using Holder’s inequality when the absolute value of the derivative
S. Aslani, M. R. Delavar, S. M. Vaezpour
semanticscholar   +1 more source

Certain convex harmonic functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
We define and investigate a family of complex-valued harmonic convex univalent functions related to uniformly convex analytic functions. We obtain coefficient bounds, extreme points, distortion theorems, convolution and convex combinations for this ...
Yong Chan Kim   +2 more
doaj   +1 more source

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