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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The problem with shift for a degenerate hyperbolic equation of the first kind [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 For a degenerate first-order hyperbolic equation of the second order containing a term with a lower derivative, we study two boundary value problems with an offset that generalize the well-known first and second Darboux problems. Theorems on an existence
Zhiraslan A. Balkizov
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Mean value theorem for holomorphic functions
Electronic Journal of Differential Equations, 2012 This article presents a generalization of Myers' theorem and when the boundary assumption f'(a)=f'(b) is removed, and to prove this result for holomorphic functions of one complex variable.
Devrim Cakmak, Aydin Tiryaki
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Taylor’s Formula for Generalized Weighted Fractional Derivatives with Nonsingular Kernels
Axioms, 2022 We prove a new Taylor’s theorem for generalized weighted fractional calculus with nonsingular kernels. The proof is based on the establishment of new relations for nth-weighted generalized fractional integrals and derivatives. As an application, new mean
Houssine Zine +3 more
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Mean Value Theorems for L-functions over Prime Polynomials for the Rational Function Field [PDF]
, 2013 The first and second moments are established for the family of quadratic Dirichlet $L$--functions over the rational function field at the central point $s=\tfrac{1}{2}$ where the character $\chi$ is defined by the Legendre symbol for polynomials over ...
Andrade, Julio C., Keating, Jonathan P.
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Some mean value theorems as consequences of the Darboux property [PDF]
Mathematica Bohemica, 2017 The aim of the paper is to present some mean value theorems obtained as consequences of the intermediate value property. First, we will prove that any nonextremum value of a Darboux function can be represented as an arithmetic, geometric or harmonic mean
Dan Ştefan Marinescu, Mihai Monea
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Generalized Conformable Mean Value Theorems with Applications to Multivariable Calculus
Journal of Mathematics, 2021 The conformable derivative and its properties have been recently introduced. In this research work, we propose and prove some new results on the conformable calculus.
Francisco Martínez +3 more
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Giaccardi Inequality for Modified h-Convex Functions and Mean Value Theorems
Journal of Function Spaces, 2022 In this article, we consider the class of modified h−convex functions and derive the famous Giaccardi and Petrovic′ type inequalities for this class of functions.
Yonghong Liu +4 more
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Approximation of CDF of Non-Central Chi-Square Distribution by Mean-Value Theorems for Integrals
Mathematics, 2021 The cumulative distribution function of the non-central chi-square distribution χn′2(λ) of n degrees of freedom possesses an integral representation. Here we rewrite this integral in terms of a lower incomplete gamma function applying two of the second ...
Árpád Baricz +2 more
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A Note of Jessen’s Inequality and Their Applications to Mean-Operators
Mathematics, 2022 A variant of Jessen’s type inequality for a semigroup of positive linear operators, defined on a Banach lattice algebra, is obtained. The corresponding mean value theorems lead to a new family of mean-operators.
Gul I Hina Aslam +2 more
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