On the reverse Hardy-type integral inequalities in the whole plane with the extended Riemann-Zeta function
نویسندگان
چکیده
منابع مشابه
Equivalent Conditions of a Hardy-type Integral Inequality Related to the Extended Riemann Zeta Function
Abstract. By the use of techniques of real analysis and weight functions, we obtain two lemmas and build a few equivalent conditions of a Hardy-type integral inequality with a non-homogeneous kernel, related to a parameter where the constant factor is expressed in terms of the extended Riemann zeta function. Meanwhile, a few equivalent conditions for two kinds of Hardytype integral inequalities...
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By the method of weight coefficients, techniques of real analysis and Hermite-Hadamard's inequality, a half-discrete Hardy-Hilbert-type inequality related to the kernel of the hyperbolic cosecant function with the best possible constant factor expressed in terms of the extended Riemann-zeta function is proved. The more accurate equivalent forms, the operator expressions with the norm, the rever...
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By the use of the way of real analysis, we estimate the weight functions and give some new Hilbert-type integral inequalities in the whole plane with nonhomogeneous kernels and multiparameters. The constant factors related to the hypergeometric function and the beta function are proved to be the best possible. We also consider the equivalent forms, the reverses, and some particular cases in the...
متن کاملa more accurate half-discrete hardy-hilbert-type inequality with the best possible constant factor related to the extended riemann-zeta function
by the method of weight coefficients, techniques of real analysis andhermite-hadamard's inequality, a half-discrete hardy-hilbert-type inequalityrelated to the kernel of the hyperbolic cosecant function with the best possibleconstant factor expressed in terms of the extended riemann-zeta function is proved.the more accurate equivalent forms, the operator expressions with the norm,the reverses a...
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ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2020
ISSN: 1846-579X
DOI: 10.7153/jmi-2020-14-33