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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Perbandingan Sensitivitas Harga Obligasi Berdasarkan Durasi Macaulay dan Durasi Eksponensial dengan Pengaruh Konveksitas (Studi Empiris pada Data Obligasi Korporasi Indonesia yang Terbit Tahun 2015) [PDF]
Media Statistika, 2017 Macaulay duration has often been used as a measure of the bond prices sensitivity to changes in interest rates. For a small change in interest rates, the duration provides a good approximation of the actual change in price.
Di Asih I Maruddani, Abdul Hoyyi
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Generalized Levinson's inequality and exponential convexity [PDF]
Opuscula Mathematica, 2015 We give a probabilistic version of Levinson's inequality under Mercer's assumption of equal variances for the family of 3-convex functions at a point.
Josip Pečarić +2 more
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Certain exponential type m-convexity inequalities for fractional integrals with exponential kernels
AIMS Mathematics, 2022 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 ...
Hao Wang +3 more
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Exponential type convexity and some related inequalities [PDF]
Journal of Inequalities and Applications, 2020 In this manuscript, we give and study the concept of exponential type convex functions and some of their algebraic properties. We prove two Hermite–Hadamard (H-H) type integral inequalities for the newly introduced class of functions. We also obtain some
Mahir Kadakal, İmdat İşcan
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Geometric Properties and Hardy Spaces of Rabotnov Fractional Exponential Functions
Fractal and Fractional, 2023 The aim of this study is to investigate a certain sufficiency criterion for uniform convexity, strong starlikeness, and strong convexity of Rabtonov fractional exponential functions. We also study the starlikeness and convexity of order γ.
Mohsan Raza +5 more
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Positive Semidefinite Matrices, Exponential Convexity for Majorization, and Related Cauchy Means
Journal of Inequalities and Applications, 2010 We prove positive semidefiniteness of matrices generated by differences deduced from majorization-type results which implies exponential convexity and log-convexity of these differences and also obtain Lyapunov's and Dresher's inequalities for ...
N. Latif +2 more
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Properties of modified Bessel functions and completely monotonic degrees of differences between exponential and trigamma functions [PDF]
, 2014 In the paper, the author establishes inequalities, monotonicity, convexity, and unimodality for functions concerning the modified Bessel functions of the first kind and compute the completely monotonic degrees of differences between the exponential and ...
Qi, Feng
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Sample-Based High-Dimensional Convexity Testing [PDF]
, 2017 In the problem of high-dimensional convexity testing, there is an unknown set S in the n-dimensional Euclidean space which is promised to be either convex or c-far from every convex body with respect to the standard multivariate normal distribution.
Chen, Xi +3 more
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New inequalities via n-polynomial harmonically exponential type convex functions
AIMS Mathematics, 2020 In this work we introduced a new class of functions called n-polynomial harmonically exponential type convex and study some of their algebraic properties.
Wei Gao +5 more
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