[[abstract]]We establish the inequality [equation] where α = CK,n = p/q,q − 1 + (u′(x)R(x)/u2(x)r(x)) ≥ q/K and R(x) = ∫x0r(t)u(t) dt, which is sharper than that obtained by B. Mond, J. Pecaric, and I. Peric (J. Math. Anal. Appl.203(1996), 381–387).[[notice]]補正完
We use the definition of a fractional integral, recently proposed by Katugampola, to establisha gene...
Abstract. Young’s integral inequality is reformulated with upper and lower bounds for the remainder....
Here we present reverse Lp fractional integral inequalities for left and right Riemann-Liouville, ge...
AbstractWe establish the inequality [equation] where α=CK,n=p/q,q−1+(u′(x)R(x)/u2(x)r(x))≥q/KandR(x)...
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We use the definition of a fractional integral, recently proposed by Katugampola, to establisha gene...
Abstract. Young’s integral inequality is reformulated with upper and lower bounds for the remainder....
Here we present reverse Lp fractional integral inequalities for left and right Riemann-Liouville, ge...
AbstractWe establish the inequality [equation] where α=CK,n=p/q,q−1+(u′(x)R(x)/u2(x)r(x))≥q/KandR(x)...
AbstractA consequence of Hölder's inequality is the well-known inequality between means of orderspan...
In this paper, we give a classification of points under which the generalization of Cîrtoaje's inequ...
AbstractWe present an upper bound for the ratio [formula], where f is a positive decreasing function...
In this paper, a best generalization of the reverse extended Hardy’s integral inequality is given by...
By introducing some parameters, we establish generalizations of the Hilbert-type inequality. As appl...
Abstract. If f is a positive integrable function, then it is well-known that for real numbers p and ...
There are many known reverses of the Cauchy-Bunyakovsky-Schwarz (CBS) inequality in the literature....
Two new reverses of the celebrated JensenÂ’s inequality for convex functions in the general settings...
In ( [4]:F. Qi, Several integral inequalities, J. Inequal. Pure and Appl. Math. 1(2), (2000), Art. ...
Abstract. This is a survey and expository article. Some new developments on refinements, generalizat...
Refinements of some recent reverse inequalities for the celebrated Cauchy-Bunyakovsky-Schwarz inequa...
We use the definition of a fractional integral, recently proposed by Katugampola, to establisha gene...
Abstract. Young’s integral inequality is reformulated with upper and lower bounds for the remainder....
Here we present reverse Lp fractional integral inequalities for left and right Riemann-Liouville, ge...
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