Zinelaabidine Latreuch

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Questions related from Zinelaabidine Latreuch

Can we calculate the the anti-difference operator of exponential functions?

There are many functions whose anti-derivatives (primitives), even though they exist, cannot be expressed in terms of elementary functions (like exponential functions, logarithms, trigonometric...

24 June 2015 2,288 3 View

Can anyone prove or disprove the following inequality: f(x)+f(a+b-x)>2f((a+b)/2), where f is an increasing function on [a,b]?

I want to prove that if f is an increasing function on [a,b], then the function g(x)=f(x)+f(a+b-x) is decreasing on [a,(a+b)/2] and increasing on [(a+b)/2,b].

28 March 2014 5,286 8 View