On boundedness and compactness of a certain class of kernel operators
New conditions for Lp[0, ∞) − Lq[0, ∞) boundedness and compactness (1 < p, q < ∞) of the map f→w(x)∫a(x)b(x)k(x,y)f(y)v(y)dy with locally integrable weight functions v, w and a positive continuous kernel k(x, y) from the Oinarov’s class are obtained.
Elena P. Ushakova, Oleg V. Besov
wiley +1 more source
On Bellman‐Golubov theorems for the Riemann‐Liouville operators
Superposition of Fourier transform with the Riemann ‐ Liouville operators is studied.
Pham Tien Zung, Victor Burenkov
wiley +1 more source
Generalizations of Hölder′s inequality
Some generalized Hölder′s inequalities for positive as well as negative exponents are obtained.
Wing-Sum Cheung
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Inequalities Involving the Derivative of Rational Functions With Prescribed Poles
This paper gives an upper bound of a modulus of the derivative of rational functions. rz=z−z0shz/wz∈Rm,n, where r(z) has exactly n poles a1, a2, ⋯, an and all the zeros of r(z) lie in Dk∪Dk+,k ≥ 1 except the zeros of order s at z0, |z0| < k. Moreover, we give an upper bound of a modulus of the derivative of rational functions.
Preeti Gupta, Chong Lin
wiley +1 more source
Predictive dynamical modeling and stability of the equilibria in a discrete fractional difference COVID-19 epidemic model. [PDF]
Chu YM+6 more
europepmc +1 more source
Turán type inequalities for generalized Mittag-Leffler function. [PDF]
Dou XK, Yin L.
europepmc +1 more source
Sharp two-parameter bounds for the identric mean. [PDF]
Kouba O.
europepmc +1 more source
Sharp bounds for the Sándor-Yang means in terms of arithmetic and contra-harmonic means. [PDF]
Xu HZ, Chu YM, Qian WM.
europepmc +1 more source
Extensions of different type parameterized inequalities for generalized [Formula: see text]-preinvex mappings via k-fractional integrals. [PDF]
Zhang Y+4 more
europepmc +1 more source
Padé approximant related to the Wallis formula. [PDF]
Lin L, Ma WC, Chen CP.
europepmc +1 more source