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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… Click to show full 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 f in C, two-sided bounds in terms of the best approximations by trigonometric polynomials are established.
Keywords:
best approximations;
two sided;
estimates functionals;
sided estimates;
functionals terms;
terms best
Journal Title: Journal of Mathematical Sciences
Year Published: 2017
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Journal Title: Journal of Mathematical Sciences
Year Published: 2017
Link to full text (if available)
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recommendations!