[PDF] Top 20 On Opial's type inequalities for an integral operator with homogeneous kernel
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On Opial's type inequalities for an integral operator with homogeneous kernel
... where y(t) is a continuous function on [ a , τ ], and K(t, s) is a non-negative kernel defined on [ a , τ ] × [ a , τ ]; such that x(t) > 0 if y(t) > 0, t Î [ a , τ ]. Taking these in Theo- rem 2.1 ... See full document
5
Some sharp inequalities for integral operators with homogeneous kernel
... of inequalities () and () to what to- day is called Hardy-type inequalities is very extensive and still a very active area of research (see ... See full document
18
The Hilbert Type Integral Inequalities with a Homogeneous Kernel of Degree
... a homogeneous function of ...a homogeneous kernel function of the integral operator T and inequality ...the homogeneous kernel of −1- degree ... See full document
12
A multiple Hilbert type integral inequality with a non homogeneous kernel
... the operator are important in analysis and its applications ...Hardy-Hilbert integral operator and gave an improvement of () (for p = q = ...(r, s) (r > , r + s = ) and an ... See full document
12
On a Hilbert Type Operator with a Symmetric Homogeneous Kernel of1 Order and Applications
... symmetric homogeneous kernel of − 1-order satisfying condition (ii) of Theorem ...equivalent inequalities with the symmetric homo- geneous kernel of − ...Hilbert-type ... See full document
9
Equivalent conditions and applications of a class of Hilbert type integral inequalities involving multiple functions with quasi homogeneous kernels
... Hilbert- type inequality? What is the best constant factor when the inequality holds? The research on such problems is undoubtedly of great significance to the study and applications of Hilbert-type ... See full document
12
Opial Type Integral Inequalities for Widder Derivatives and Linear Differential Operators
... years, Opial inequality ...monograp[1]). Opial inequality and its generalizations, extensions and discretizations play a fundamental role in establishing the existence and uniqueness of initial and boundary ... See full document
12
Two kinds of Hilbert type integral inequalities in the whole plane
... Hilbert-type integral inequalities in the whole plane with a non-homogeneous kernel and a homogeneous kernel are ... See full document
11
On Hardy type integral inequalities with the gamma function
... Hardy-type integral inequalities with the non-homogeneous kernel and parameters are obtained by Theorem , ...the operator expressions in Theorem , . The dependent cases of ... See full document
17
A Hilbert type operator with a symmetric homogeneous kernel of two parameters and its applications
... linear operator with a symmetric homogeneous kernel, one can obtain var- ious Hilbert-type inequalities with the best constant ...definite operator defined ... See full document
14
New aspects of Opial type integral inequalities
... Recently, researchers have proposed different fractional-time operators from the well- known Riemann–Liouville operator, see [20, 35–37, 52]. They are defined by nonsingular memory kernels. Also, they used these new ... See full document
11
A Hilbert type integral inequality in the whole plane with a non homogeneous kernel and a few parameters
... a homogeneous kernel of degree –, in , A survey of the study of Hilbert-type inequalities with the homogeneous kernels of degree negative numbers and some parameters is given by ... See full document
9
Sharp maximal function inequalities and boundedness for Toeplitz type operator associated to singular integral operator with non smooth kernel
... singular integral operators, their commutators and multilinear operators have been well studied (see ...singular integral operators and BMO functions are bounded on L p (R n ) for < p < ∞ ... See full document
19
A new Hilbert type integral inequality in the whole plane with the non homogeneous kernel
... Some inequalities with the non-homogenous kernels have been studied in ...Hilbert-type integral inequality in the whole plane with the non-homogenous kernel and a best constant factor is ... See full document
11
On some Opial type inequalities
... On integral inequalities similar to Opial ’ s ...On integral inequalities similar to Opial ’ s ...Some inequalities similar to Opial ’ s ... See full document
8
Hardy Hilbert Type Inequalities with a Homogeneous Kernel in Discrete Case
... The main objective of this paper is a study of some new generalizations of Hilbert’s and Hardy- Hilbert’s type inequalities. We apply our general results to homogeneous functions. We shall obtain, in ... See full document
8
On improvements of the Rozanova's inequality
... ’ s inequality and its generalizations, extensions and discretizations play a funda- mental role in establishing the existence and uniqueness of initial and boundary value problems for ordinary and partial ... See full document
7
Opial type Lp inequalities for fractional derivatives
... We present a version of Opial’s inequality with l = 2 motivated by Pang and Agar- wal’s extension [9, Theorem 1.1] of an inequality due to Fink [5] for classical deriva- tives. This was further extended in [4, Theorem 4] ... See full document
11
Hardy type inequalities for integral transforms associated with Jacobi operator
... [19] K. Trim`eche, Transformation int´egrale de Weyl et th´eor`eme de Paley-Wiener associ´es `a un op´erateur diff´erentiel singulier sur (0, ∞ ) [Weyl integral transform and Paley-Wiener theo- rem associated with ... See full document
20
Dynamic Opial diamond α integral inequalities involving the power of a function
... jump operator σ : T → T by σ (t) := inf { s ∈ T : s > t } and the backward jump operator ρ : T → T by ρ(t) := sup {s ∈ T : s < ... See full document
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