Results 11 to 20 of about 6,546 (262)
A general mean value theorem [PDF]
Publicationes Mathematicae Debrecen, 2016 In this note a general a Cauchy-type mean value theorem for the ratio of functional determinants is offered. It generalizes Cauchy's and Taylor's mean value theorems as well as other classical mean value theorems.
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On Logarithmic Convexity for Power Sums and Related Results
Journal of Inequalities and Applications, 2008 We give some further consideration about logarithmic convexity for differences of power sums inequality as well as related mean value theorems. Also we define quasiarithmetic sum and give some related results.
Atiq Ur Rehman, J. Pečarić
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Mean Value Theorems on Manifolds [PDF]
Asian Journal of Mathematics, 2007 We derive several mean value formulae on manifolds, generalizing the classical one for harmonic functions on Euclidean spaces as well as later results of Schoen-Yau, Michael-Simon, etc, on curved Riemannian manifolds. For the heat equation a mean value theorem with respect to `heat spheres' is proved for heat equation with respect to evolving ...
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Some Coding Theorems for Nonadditive Generalized Mean-Value Entropies
International Journal of Mathematics and Mathematical Sciences, 2012 We give an optimality characterization of nonadditive generalized mean-value entropies from suitable nonadditive and generalized mean-value properties of the measure of average length.
Satish Kumar, Gurdas Ram, Vishal Gupta
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Exponential convexity for Jensen’s inequality for norms
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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Cauchy Means of the Popoviciu Type
Journal of Inequalities and Applications, 2009 We discuss log-convexity for the differences of the Popoviciu inequalities and introduce some mean value theorems and related results. Also we give the Cauchy means of the Popoviciu type and we show that these means are monotonic.
Matloob Anwar +2 more
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On Generalized Flett's Mean Value Theorem [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 We present a new proof of generalized Flett's mean value theorem due to Pawlikowska (from 1999) using only the original Flett's mean value theorem. Also, a Trahan-type condition is established in general case.
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A generalization of contraction principle
International Journal of Mathematics and Mathematical Sciences, 1981 In this paper, a generalized mean value contraction is introduced. This contraction is an extension of the contractions of earlier researchers and of the generalized mean value non-expansive mapping.
K. M. Ghosh
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Surveys in Mathematics and its Applications, 2023 We present a streamlined, slightly modified version, in the two-variable situation, of a beautiful, but not so well known, theory by Bögel, already from the 1930s, on an alternative higher dimensional calculus of real functions, a double calculus, which ...
Patrik Lundström
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Characterization of matrix transformation of complex uncertain sequences via expected value operator
Karpatsʹkì Matematičnì Publìkacìï, 2022 The aim of this paper is to study the concept of matrix transformation between complex uncertain sequences in mean. The characterization of the matrix transformation has been made by applying the concept of convergence of complex uncertain series ...
B. Das, P. Debnath, B.C. Tripathy
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