log-convex functionseminormed Sugeno fuzzy integral26A5128E1039B62In this paper, we give an upper bound for the Sugeno fuzzy integral of log-convex functions using the classical Hadamard integral inequality. We present a geometric interpretation and some examples in the framework of the Lebesgue ...
Integral of log(x)/x by x: log(x)^2/2+C ln2(x)2 Value at x= Integral Calculatorcomputes an indefinite integral (anti-derivative) of a function with respect to a given variable using analytical integration. It also allows to draw graphs of the function and its integral. Please remember...
Firstly, for a monotone log-convex function, westate the similar Hadamard inequality of the Choquet integral in the framework ofdistorted measure. Secondly, we estimate the upper bound of the Choquet integralfor a general log-convex function, respectively, in the case of distorted Lebesguemeasure ...
The integrals of thefunctions(log t)−1and e−t2define the logarithmic integral. These cannot be integrated in terms ofelementary functions[3]. Applications of the Logarithmic Integral Function The logarithmic integral function is used primarily in physics and number theory. In number theory, the...
3) function integration method 函数积分法4) PRM 分段有理函数方法 1. To mitigate this problem,a physical limitation method NLSL scheme in PRM scalar advection scheme in the GRAPES model was introduced,and tries to improve the simulation of cloud substances and precipitation forecast. GRAPES...
Create the functionf(x)=ln(x). fun = @(x)log(x); Evaluate the integral fromx=0tox=1with the default error tolerances. formatlongq1 = integral(fun,0,1) q1 = -1.000000010959678 Evaluate the integral again, this time with 12 decimal places of accuracy. SetRelTolto zero so thatintegral...
A concavity property of generalized complete elliptic integrals We prove that, for p ∈ ( 1 , ∞ ) and β∈ R , the function x β log 1 x p K p ( x p ) is strictly concave on ( 0 , 1 ) if and only if β≥λ ( p )... KC Richards,JN Smith - 《Integral Transforms & ...
Ch 4. Overview of Limits of Functions Ch 5. Overview of Function Continuity Ch 6. Understanding Exponentials &... Ch 7. Using Exponents and Polynomials Ch 8. Parametric, Polar and Vector... Ch 9. Overview of Properties of... Ch 10. The Derivative at a Point Ch 11. The Derivative as...
In this paper, we give an upper bound for the Sugeno fuzzy integral of log-convex functions using the classical Hadamard integral inequality. We present a geometric interpretation and some examples in the framework of the Lebesgue measure to illustrate the results.关键词: generalized Sugeno integral...
{eq}\log_a x^k=k\log_a x {/eq}. Answer and Explanation:1 Let us solve the integral, {eq}I=\displaystyle \int \cot x \, dx {/eq}. The cotangent function is defined by the quotient, {eq}\cot x=\dfrac{\cos... Learn more about this topic: ...