Results 21 to 30 of about 2,183 (247)
Riesz bases of exponentials for convex polytopes with symmetric faces [PDF]
Journal of the European Mathematical Society, 2021 We prove that for any convex polytope {\Omega \subset \mathbb{R}^d} which is centrally symmetric and whose faces of all dimensions are also centrally symmetric, there exists a Riesz basis of exponential functions in the space
Debernardi, Alberto, Lev, Nir
openaire +4 more sources
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 +5 more
doaj +1 more source
EXPONENTIAL CONVEXITY OF THE FAVARD'S INEQUALITY AND RELATED RESULTS
Contributions, Section of Natural, Mathematical and Biotechnical Sciences, 2017 A b s t r a c t: In this paper we prove positive semi-definiteness of matrices generated by differences deduced from unweighted and weighted Favard's inequality. This implies a surprising property of exponential convexity of this differences which allows us to deduce Gram's, Lyapunov's and Dresher's types of inequalities for this differences.
Latif, Naveed +2 more
openaire +3 more sources
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
On $m$-Exponential Convexity with Respect to $s$ and Its Applications [PDF]
Sahand Communications in Mathematical AnalysisThe 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
AIMS Mathematics, 2022 <abstract><p>By applying exponential type $ m $-convexity, the Hölder inequality and the power mean inequality, this paper is devoted to conclude explicit bounds for the fractional integrals with exponential kernels inequalities, such as right-side Hadamard type, midpoint type, trapezoid type and Dragomir-Agarwal type inequalities.
Hao Wang +3 more
openaire +2 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 +4 more
doaj +1 more source
Advanced Engineering Materials, EarlyView.A novel workflow for investigating hydride vapor phase epitaxy for GaN bulk crystal growth is proposed. It combines Design of experiments (DoE) with physical simulations of mass transport and crystal growth kinetics, serving as an intermediate step between DoE and experiments.
J. Tomkovič +7 more
wiley +1 more source
Journal of Numerical Analysis and Approximation Theory, 2017 In this paper, using majorization theorems and Lidstone's interpolating polynomials we obtain results concerning Jensen's and Jensen-Steffensen's inequalities and their converses in both the integral and the discrete case.
Gorana Aras-Gazic +2 more
doaj +2 more sources