Two-Sided Estimates for Some Functionals in Terms of the Best Approximations
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DOI: 10.1007/s10958-017-3501-6
Abstract: Let C be the space of continuous 2π-periodic functions. For some integrals of the form∫0πωrftΦtdt,$$ \underset{0}{\overset{\pi }{\int }}{\omega}_r\left(f,t\right)\Phi (t) dt, $$ where ωr(f, t) is the modulus of continuity of order r of a function… read more here.
Keywords: best approximations; two sided; estimates functionals; sided estimates ... See more keywords
Best Approximations of Solutions of Fractional-integral Equations with the Riemann-Liouville Operator
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DOI: 10.1134/s1995080219090026
Abstract: The article is devoted to the best approximations of solutions of integral equations that are defined on the line segment and have a fractional Riemann-Liouville integral in the main part. These approximations are constructed with… read more here.
Keywords: best approximations; solutions fractional; approximations solutions; riemann liouville ... See more keywords