{"product_id":"9789814504997","title":"Half-discrete Hilbert-type Inequalities","description":"\u003cp\u003eIn 1934, G. H. Hardy et al. published a book entitled “Inequalities”, in which a few theorems about Hilbert-type inequalities with homogeneous kernels of degree-one were considered. Since then, the theory of Hilbert-type discrete and integral inequalities is almost built by Prof. Bicheng Yang in their four published books.\u003c\/p\u003e\u003cp\u003eThis monograph deals with half-discrete Hilbert-type inequalities. By means of building the theory of discrete and integral Hilbert-type inequalities, and applying the technique of Real Analysis and Summation Theory, some kinds of half-discrete Hilbert-type inequalities with the general homogeneous kernels and non-homogeneous kernels are built. The relating best possible constant factors are all obtained and proved. The equivalent forms, operator expressions and some kinds of reverses with the best constant factors are given. We also consider some multi-dimensional extensions and two kinds of multiple inequalities with parameters and variables, which are some extensions of the two-dimensional cases. As applications, a large number of examples with particular kernels are also discussed.\u003c\/p\u003e\u003cp\u003eThe authors have been successful in applying Hilbert-type discrete and integral inequalities to the topic of half-discrete inequalities. The lemmas and theorems in this book provide an extensive account of these kinds of inequalities and operators. This book can help many readers make good progress in research on Hilbert-type inequalities and their applications.\u003c\/p\u003e\u003cb\u003eContents:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eRecent Developments of Hilbert-Type Inequalities with Applications\u003c\/li\u003e\n\u003cli\u003eImprovements of the Euler-Maclaurin Summation Formula and Applications\u003c\/li\u003e\n\u003cli\u003eA Half-Discrete Hilbert-Type Inequality with a General Homogeneous Kernel\u003c\/li\u003e\n\u003cli\u003eA Half-Discrete Hilbert-Type Inequality with a Non-Homogeneous Kernel\u003c\/li\u003e\n\u003cli\u003eMulti-dimensional Half-Discrete Hilbert-Type Inequalities\u003c\/li\u003e\n\u003cli\u003eMultiple Half-Discrete Hilbert-Type Inequalities\u003c\/li\u003e\n\u003c\/ul\u003e\u003cbr\u003e\u003cb\u003eReadership:\u003c\/b\u003e Graduate students and professional researchers in mathematics.\u003cbr\u003e\u003cb\u003eKey Features:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eNew edition\u003c\/li\u003e\n\u003cli\u003eNew material\u003c\/li\u003e\n\u003cli\u003eUnique treatment of this topic\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"World Scientific Publishing Company, Incorporated","offers":[{"title":"Default Title","offer_id":47185518330096,"sku":"9789814504997","price":27.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9789814504997_p0.jpg?v=1763692338","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9789814504997","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}