Weighted integral inequalities for conjugate A-harmonic tensors

Weighted Poincaré-type Estimates for Conjugate A-harmonic Tensors

In a survey paper [1], Agarwal and Ding summarized the advances achieved in the study of A-harmonic equations. Some recent results about A-harmonic equations can also be found in [2, 3, 5, 6]. The purpose of this note is to establish some estimates about Green’s operator and the Hodge codifferential operator d∗, which will enrich the existing literature in the field of A-harmonic equations. Let...

Some Weighted Integral Inequalities for Generalized Conformable Fractional Calculus

In this paper, we have obtained weighted versions of Ostrowski, Čebysev and Grüss type inequalities for conformable fractional integrals which is given by Katugompola. By using the Katugampola definition for conformable calculus, the present study confirms previous findings and contributes additional evidence that provide the bounds for more general functions.

Ar(λ)-WEIGHTED CACCIOPPOLI-TYPE AND POINCARÉ-TYPE INEQUALITIES FOR A-HARMONIC TENSORS

Weighted Caccioppoli-type Estimates and Weak Reverse Hölder Inequalities for A-harmonic Tensors

We obtain a local weighted Caccioppoli-type estimate and prove the weighted version of the weak reverse Hölder inequality for A-harmonic tensors.

Hardy-Littlewood and Caccioppoli-Type Inequalities for A-Harmonic Tensors