Results 21 to 30 of about 580,671 (251)

Inequalities for a Unified Integral Operator for Strongly α,m-Convex Function and Related Results in Fractional Calculus

Journal of Function Spaces, 2021
In this paper, we study integral inequalities which will provide refinements of bounds of unified integral operators established for convex and α,m-convex functions.
Chahn Yong Jung, Ghulam Farid, Kahkashan Mahreen, Soo Hak Shim   +3 more
doaj   +1 more source

Pathological phenomena in Denjoy-Carleman classes [PDF]

, 2015
Let $\mathcal C^M$ denote a Denjoy-Carleman class of $\mathcal C^\infty$ functions (for a given logarithmically-convex sequence $M = (M_n)$). We construct: (1) a function in $\mathcal C^M((-1,1))$ which is nowhere in any smaller class; (2) a function on $
Jaffe, Ethan Y.
core   +1 more source

Polyominoes with nearly convex columns: An undirected model [PDF]

, 2009
Column-convex polyominoes were introduced in 1950's by Temperley, a mathematical physicist working on "lattice gases". By now, column-convex polyominoes are a popular and well-understood model.
Feretic, Svjetlan, Guttmann, Anthony J.
core   +3 more sources

Some fractional Hermite–Hadamard-type integral inequalities with s- ( α , m ) $(\alpha,m)$ -convex functions and their applications

Advances in Difference Equations, 2021
Under the new concept of s- ( α , m ) $(\alpha,m)$ -convex functions, we obtain some new Hermite–Hadamard inequalities with an s- ( α , m ) $(\alpha,m)$ -convex function.
R. N. Liu, Run Xu
doaj   +1 more source

Study of fractional integral inequalities involving Mittag-Leffler functions via convexity

Journal of Inequalities and Applications, 2020
This paper studies fractional integral inequalities for fractional integral operators containing extended Mittag-Leffler (ML) functions. These inequalities provide upper bounds of left- and right-sided fractional integrals for ( α , h − m ) $(\alpha, h-m)
Zhihua Chen, Ghulam Farid, Maryam Saddiqa, Saleem Ullah, Naveed Latif   +4 more
doaj   +1 more source

Geometric convexity of the generalized sine and the generalized hyperbolic sine [PDF]

, 2013
In the paper, the authors prove that the generalized sine function $\sin_{p,q}(x)$ and the generalized hyperbolic sine function $\sinh_{p,q}(x)$ are geometrically concave and geometrically convex, respectively.
Jiang, Wei-Dong, Qi, Feng
core   +1 more source

The most important inequalities of $m$-convex functions [PDF]

TURKISH JOURNAL OF MATHEMATICS, 2017
The intention of this article is to investigate the most important inequalities of m-convex functions without using their derivatives. The article also provides a brief survey of general properties of m-convex functions.
Pavić, Zlatko, Avci Ardiç, Merve
openaire   +3 more sources

Sandwich theorem for m-convex functions

Journal of Mathematical Analysis and Applications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Matkowski, Janusz, Wróbel, Małgorzata
openaire   +1 more source

Certain new bounds considering the weighted Simpson-like type inequality and applications

Journal of Inequalities and Applications, 2018
We investigate a weighted Simpson-type identity and obtain new estimation-type results related to the weighted Simpson-like type inequality for the first-order differentiable mappings.
Chun-Yan Luo, Ting-Song Du, Mehmet Kunt, Yao Zhang   +3 more
doaj   +1 more source

On the magnitude function of domains in Euclidean space

, 2020
We study Leinster's notion of magnitude for a compact metric space. For a smooth, compact domain $X\subset \mathbb{R}^{2m-1}$, we find geometric significance in the function $\mathcal{M}_X(R) = \mathrm{mag}(R\cdot X)$.
Gimperlein, Heiko, Goffeng, Magnus
core   +1 more source