Results 21 to 30 of about 51,346 (174)

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

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

Uniform convergence to equilibrium for granular media [PDF]

, 2012
We study the long time asymptotics of a nonlinear, nonlocal equation used in the modelling of granular media. We prove a uniform exponential convergence to equilibrium for degenerately convex and non convex interaction or confinement potentials ...
Arnaud Guillin, D. Bakry, D. Benedetto, F. Bolley, F. Bolley, F. Malrieu, François Bolley, Ivan Gentil, J.A. Carrillo, J.A. Carrillo, J.A. Carrillo, P. Cattiaux, R.J. McCann, S. Lisini, V. Calvez   +14 more
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On $m$-Exponential Convexity with Respect to $s$ and Its Applications [PDF]

Sahand Communications in Mathematical Analysis
The concept of convexity represents one of the fundamental notions of mathematical analysis and optimization. Various extensions of the concept of convexity have contributed to a wide range of applications, including the study of integral inequalities ...
Nemanja Vučićević
doaj   +1 more source

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

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

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

Hermite–Hadamard Type Inequalities via Generalized Harmonic Exponential Convexity and Applications

Journal of Function Spaces, 2021
In this work, we introduce the idea and concept of m–polynomial p–harmonic exponential type convex functions. In addition, we elaborate the newly introduced idea by examples and some interesting algebraic properties.
Saad Ihsan Butt, Muhammad Tariq, Adnan Aslam, Hijaz Ahmad, Taher A. Nofal   +4 more
doaj   +1 more source

Seven Means, Generalized Triangular Discrimination, and Generating Divergence Measures [PDF]

, 2012
From geometrical point of view, Eve (2003) studied seven means. These means are Harmonic, Geometric, Arithmetic, Heronian, Contra-harmonic, Root-mean square and Centroidal mean.
Tameja, Inder Jeet
core   +2 more sources