Results 21 to 30 of about 49,660 (224)

On k-Convex Polygons [PDF]

, 2010
We introduce a notion of $k$-convexity and explore polygons in the plane that have this property. Polygons which are \mbox{$k$-convex} can be triangulated with fast yet simple algorithms. However, recognizing them in general is a 3SUM-hard problem.
Aichholzer, Oswin, Aurenhammer, Franz, Demaine, Erik D., Hurtado, Ferran, Ramos, Pedro, Urrutia, Jorge   +5 more
core   +2 more sources

On Some New Weighted Inequalities for Differentiable Exponentially Convex and Exponentially Quasi-Convex Functions with Applications [PDF]

Mathematics, 2019
In this article, we aim to establish several inequalities for differentiable exponentially convex and exponentially quasi-convex mapping, which are connected with the famous Hermite–Hadamard (HH) integral inequality. Moreover, we have provided applications of our findings to error estimations in numerical analysis and higher moments of random variables.
Dongming Nie, Saima Rashid, Ahmet Ocak Akdemir, Dumitru Baleanu, Jia-Bao Liu   +4 more
openaire   +4 more sources

Some New Refinements of Trapezium-Type Integral Inequalities in Connection with Generalized Fractional Integrals

Axioms, 2022
The main objective of this article is to introduce a new notion of convexity, i.e., modified exponential type convex function, and establish related fractional inequalities.
Muhammad Tariq, Soubhagya Kumar Sahoo, Sotiris K. Ntouyas, Omar Mutab Alsalami, Asif Ali Shaikh, Kamsing Nonlaopon   +5 more
doaj   +1 more source

n-exponential convexity of weighted Hermite-Hadamard's inequality [PDF]

Journal of Mathematical Inequalities, 2014
In this paper we construct n-exponentially convex functions and exponentially convex functions using the functional defi ned as the di fference of the weighted Hermite-Hadamard's inequality for monotone functions.
Butt, Saad Ihsan, Jakšić, Rozarija, Kvesić, Ljiljanka, Pečarić, Josip   +3 more
openaire   +2 more sources

Positive semi-definite matrices, exponential convexity for multiplicative majorization and related means of Cauchy's type

Journal of Numerical Analysis and Approximation Theory, 2010
In this paper, we obtain new results concerning the generalizations of additive and multiplicative majorizations by means of exponential convexity. We prove positive semi-definiteness of matrices generated by differences deduced from majorization type ...
Naveed Latif, Josip Pečarić
doaj   +2 more sources

Analysis of positivity results for discrete fractional operators by means of exponential kernels

AIMS Mathematics, 2022
In this study, we consider positivity and other related concepts such as α−convexity and α−monotonicity for discrete fractional operators with exponential kernel.
Pshtiwan Othman Mohammed , Donal O'Regan, Aram Bahroz Brzo, Khadijah M. Abualnaja, Dumitru Baleanu   +4 more
doaj   +1 more source

Region of Variability for Exponentially Convex Univalent Functions [PDF]

Complex Analysis and Operator Theory, 2010
For $α\in\IC\setminus \{0\}$ let $\mathcal{E}(α)$ denote the class of all univalent functions $f$ in the unit disk $\mathbb{D}$ and is given by $f(z)=z+a_2z^2+a_3z^3+\cdots$, satisfying $$ {\rm Re\,} \left (1+ \frac{zf''(z)}{f'(z)}+αzf'(z)\right)>0 \quad {in ${\mathbb D}$}.
Ponnusamy, Saminathan, Vasudevarao, Allu, Vuorinen, M.   +2 more
openaire   +4 more sources

Applications of the Bell Numbers on Univalent Functions Associated with Subordination

Journal of Function Spaces, 2022
The motivation of the present paper is to define a new subclass of univalent functions associated with the q-analogue of the exponential function and the well-known Bell numbers based on subordination structure.
Sh. Najafzadeh, Mugur Acu
doaj   +1 more source

Fractional exponentially \(m\)-convex functions and inequalities

International Journal of Analysis and Applications, 2019
Summary: In this article, we introduce a new class of convex functions involving \(m \in [0, 1]\), which is called exponentially \(m\)-convex function. Some new Hermite-Hadamard inequalities for exponentially \(m\)-convex functions via Reimann-Liouville fractional integral are deduced. Several special cases are discussed.
Saima Rashid, Muhammad Aslam Noor, Khalida Inyat Noor   +2 more
openaire   +6 more sources

Functional inequalities for the Bickley function [PDF]

, 2013
In this paper our aim is to deduce some complete monotonicity properties and functional inequalities for the Bickley function. The key tools in our proofs are the classical integral inequalities, like Chebyshev, H\"older-Rogers, Cauchy-Schwarz, Carlson ...
Baricz, Árpád, Pogány, Tibor K.
core   +2 more sources