By using the properties of definite integrals, evaluate the integral: integral_2^8 |x - 5| dx By using the properties of definite integrals, evaluate the integral: integral_-5^5 |x + 2| dx By using the properties of definite integrals, evaluate the integral: integral_...
Ch 19. Calculating Derivatives of... Ch 20. Derivatives and Graphs Ch 21. Optimization in Calculus Ch 22. Definite Integrals and Sums Ch 23. Integration Applications in... Ch 24. Working with Measurement Ch 25. Finding Volume, Area & Perimeter Ch 26. Introduction to Proofs and... Ch 27...
We provide a convenient framework for the study of the well-posedness of a variety of abstract (integro)differential equations in general Banach function spaces. It allows us to extend and complement the known theory on the maximal regularity of such equations. More precisely, by methods of harmo...
On S-homogeneity property of seminormed fuzzy integral: An answer to an open problemGeneralized Sugeno integralFuzzy integralsSeminormSemicopulaCapacityMonotone measureWe give an answer to Problem 9.3 stated by Mesiar and Stupnanova [8]. We show that the class of semicopulas solving this problem ...
A Characterization of Two Weight Norm Inequalities for Fractional and Poisson Integrals For $1 < p \\leq q < \\infty$ and $w(x), v(x)$ nonnegative functions on $R^n$, we show that the weighted inequality $$\\bigg(\\int |Tf|^qw\\bigg)^{1/q} \\l... ET Sawyer - 《Transac...
On Maximal Inequalities for Stable Stochastic Integrals Sharp maximal inequalities in large and small range are derived for stable stochastic integrals. In order to control the tail of a stable process, we intro... A Joulin - 《Potential Analysis》 被引量: 42发表: 2007年 Finitistic and Frequent...
These integrals must extend over a suitably wide frequency range to be accurate. The analog for the complex index of refraction is (4.14)n(ω)=1+2πP∫0∞ω′k(ω′)ω′2−ω2dω′ Because ñ does not relate physical parameters but is derived from ɛ˜, the inverse relation ...
They become linear functions of time correlation function integrals instead of rational functions. The reason for this is that all the thermodynamic forces are constants of motion and all the thermodynamic fluxes are zero mean fluctuating phase functions in the constrained ensemble. The values of the...
On a q-analogue of the p-adic generalized twisted L-functions and p-adic q-integrals The purpose of this paper is to define generalized twisted q-Bernoulli numbers by using p-adic q-integrals. Furthermore, we construct a q-analogue of the p... LC Jang - 《Journal of the Korean ...
We present an overview of the meaningful aggregation functions mapping ordinal scales into an ordinal scale. Three main classes are discussed, namely order... JL Marichal,R Mesiar - 《Aequationes Mathematicae》 被引量: 8发表: 2009年 A Method for Image Reduction Based on a Generalization of Or...