Results 11 to 20 of about 2,183 (247)
Exponential convexity for Jensen’s inequality for norms [PDF]
Journal of Inequalities and Applications, 2016 In this paper, we investigate n-exponential convexity and log-convexity using the positive functional defined as the difference of the left-hand side and right-hand side of the inequality from (Pečarić and Janić in Facta Univ., Ser. Math. Inform. 3:39-42,
Julije Jakšetić +2 more
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Superadditivity, Monotonicity, and Exponential Convexity of the Petrović-Type Functionals [PDF]
Abstract and Applied Analysis, 2012 We consider functionals derived from Petrović-type inequalities and establish their superadditivity, subadditivity, and monotonicity properties on the corresponding real n-tuples.
Saad Ihsan Butt +2 more
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Exponential convexity for majorization [PDF]
Journal of Inequalities and Applications, 2012 In this article, we give more generalized results than in Anwar et al. (2010) and Latif and Pečarić (2010) in new direction by using second-order divided difference. We investigate the exponential convexity and logarithmic convexity for majorization type results by using class of continuous functions in linear functionals.
Asif R. Khan +2 more
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Exponentially Convex Functions on Hypercomplex Systems [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 A hypercomplex system (h.c.s.) L1(Q, m) is, roughly speaking, a space which is defined by a structure measure (c(A, B, r), (A, B ∈ ℬ(Q))), such space has been studied by Berezanskii and Krein. Our main result is to define the exponentially convex functions (e.c.f.) on (h.c.s.), and we will study their properties.
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Punjab University Journal of Mathematics, 2021 : In this paper, we produce a novel framework of a subclass of convex functions that is exponentially convex functions. Moreover, it is observed that the new concept helps to build new inequalities of Petrovic’s ´ type by employing exponentially convex functions.
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Exponential convexity and total positivity
Sibirskie Elektronnye Matematicheskie Izvestiya, 2020 Let \(I\) be one of the intervals \((0,\infty)\) and \((-\infty,\infty)\) and let \(f:I\rightarrow\mathbb{R}\) be a function associated to a continuous weight \(p:(a,b)\rightarrow\mathbb{R}_{+}\) via the formula \(f(x)=\int_{a}^{b}e^{xt}p(t)\mathrm{d}t.\) The main result of the paper under review is Theorem 2, that asserts that the kernel \(K(x,y)=f(x ...
Kotelina, Nadezhda Olegovna +1 more
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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 +2 more
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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.
Nie, Dongming +13 more
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On the convergence of the exponential multiplier method for convex programming [PDF]
Mathematical Programming, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paul Tseng, Dimitri P. Bertsekas
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Some Generalizations of the Jensen-Type Inequalities with Applications
Axioms, 2022 Motivated by some results about reverses of the Jensen inequality for positive measure, in this paper we give generalizations of those results for real Stieltjes measure dλ which is not necessarily positive using several Green functions.
Mirna Rodić
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