Results 11 to 20 of about 2,683,293 (266)
Decay of Mean Values of Multiplicative Functions [PDF]
Canadian Journal of Mathematics, 2003 AbstractFor given multiplicative functionf, with |f(n)| ≤ 1 for alln, we are interested in how fast its mean value (1/x) Σn≤xf(n) converges. Halász showed that this depends on the minimumM(overy∈ ℝ) of Σp≤x(1 – Re(f(p)p–iy)/p, and subsequent authors gave the upper bound ⪡ (1 +M)e–M.
Granville, Andrew, Soundararajan, K.
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Functions Satisfying the Mean Value Property [PDF]
Transactions of the American Mathematical Society, 1962 Introduction. In the preceding paper [8] we proved that if all harmonic functions in n-dimensional bounded domain D satisfy the mean value property (MVP) with respect to some point P and a given density function ,t (volumedensity, surface-density, etc.) then, under some simple assumptions on ,, D must necessarily be a ball with center P. In the present
Friedman, Avner, Littman, Walter
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On a New Integral Inequality: Generalizations and Applications
Axioms, 2022 In this paper, we present some generalizations and improvements of a new integral inequality from the 29th IMC in 2022. Some applications of our new results are also provided.
Huaping Huang, Wei-Shih Du
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Symmetric partially Darboux functions and multiple points mean value results [PDF]
Mathematica BohemicaWe consider mean value results for symmetric multivariable functions whose partial functions satisfy the intermediate value property.
Viorel Vîjîitu
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Some Remarks on Harmonic Functions in Minkowski Spaces
Mathematics, 2019 We prove that in Minkowski spaces, a harmonic function does not necessarily satisfy the mean value formula. Conversely, we also show that a function satisfying the mean value formula is not necessarily a harmonic function.
Songting Yin
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Influence of Customer Attrition on Diffusion of Business Education Services [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2017 Innovation diffusion models have been developed by many researchers during the past few decades based on the famous Bass (1969) model. Several such diffusion models have been developed in consideration of price, marketing efforts etc., however, it is ...
Nitin Sachdeva
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ARITHMETIC MEAN OF VALUES AND VALUE AT MEAN OF ARGUMENTS FOR CONVEX FUNCTIONS [PDF]
The ANZIAM Journal, 2008 Abstract We give here some extensions of inequalities of Popoviciu and Rado. The idea is to use an inequality [C. P. Niculescu and L. E. Persson, Convex functions. Basic theory and applications (Universitaria Press, Craiova, 2003), Page 4] which gives an approximation of the arithmetic mean of n values of a given convex function in terms of the ...
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A Testing Coverage Based SRGM Subject to the Uncertainty of the Operating Environment
Computer Sciences & Mathematics Forum, 2023 The number of software failures, software reliability, and failure rates can be measured and predicted by the software reliability growth model (SRGM). SRGM is developed and tested in a controlled environment where the operating environment is different.
Sujit Kumar Pradhan +2 more
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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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Significance of FDG–PET standardized uptake values in predicting thyroid disease
European Thyroid Journal, 2023 Objective: This study aimed to determine a standardized cut-off value for abnormal 18F-fluorodeoxyglucose (FDG) accumulation in the thyroid gland. Methods: Herein, 7013 FDG–PET/CT scans were included. An automatic thy roid segmentation method using two
Tomohiro Kikuchi +7 more
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