[PDF] Top 20 Some Inequalities for a Singular Integral
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Some Inequalities for a Singular Integral
... The main aim of this paper is to point out various estimates for I p ( f ) using an approach which employs the removal of the singularity and the utilisation of the trapezoidal rule.. So[r] ... See full document
8
Estimation of unknown function of nonlinear weakly singular integral inequalities of Gronwall–Bellman–Pachpatte type
... The aim of this paper is to extend certain results that were proved in [9, 10], and general- ize (1)–(4) to some weakly singular integral inequalities. The upper bound estimations of the ... See full document
16
Sharp maximal function inequalities and boundedness for commutators related to generalized fractional singular integral operators
... [], some singular integral operators with general kernel are in- troduced, and the boundedness for the operators and their commutators generated by BMO and Lipschitz functions are obtained (see ... See full document
13
Weighted norm inequalities for a class of rough singular integrals
... Weighted norm inequalities are proved for a rough homogeneous singular integral operator and its corresponding maximal truncated singular operator.. Our results are essential improvement[r] ... See full document
13
Some new weakly singular integral inequalities with discontinuous functions for two variables and their applications
... Integral inequalities are used as handy tools in the study of the qualitative properties of solutions to differential and integral equations, such as existence, uniqueness, bounded- ness, stability, ... See full document
24
Some Nonlinear Weakly Singular Integral Inequalities with Two Variables and Applications
... weakly singular integral inequalities in two variables which generalize some known results are ...equations, integral equations, and evolution ... See full document
12
Some New Nonlinear Weakly Singular Integral Inequalities of Wendroff Type with Applications
... weakly singular integral inequalities of Wendroff type are established, which generalized some known weakly singular inequalities for functions in two variables and can be used in ... See full document
12
Some new weakly singular integral inequalities and their applications to fractional differential equations
... well-known inequalities, such as the Gronwall type inequality, the Gronwall-Bellman type inequality, the Henry-Gronwall type inequality, the Henry-Bihari type inequality and their variants in retarded form played ... See full document
16
Bounds on some new weakly singular Wendroff type integral inequalities and applications
... of inequalities for a two-dimensional case, more attention has also been paid to weakly singular integral inequalities in two variables and their applications to the partial differential ... See full document
11
Explicit bounds of unknown function of some new weakly singular retarded integral inequalities for discontinuous functions and their applications
... solve integral in- equalities of Henry-Gronwall type, then he got the explicit bounds with a quite simple for- mula, similar to the classic Gronwall-Bellman ...weakly singular integral ... See full document
20
Refinements of some $2D$ nonlinear integral inequalities and applications in fractional integral equations
... weakly singular integral inequalities of Wendroff Type which extend some known weakly singular inequalities for functions in two variables and can be used in the analysis of ... See full document
8
Weighted boundedness for Toeplitz type operators related to strongly singular integral operators
... strongly singular integral operator is ...strongly singular integral operator is ...gular integral operators and their commutators is ...strongly singular integral ... See full document
11
Some new nonlinear integral inequalities with weakly singular kernel and their applications to FDEs
... which came from the study of a global existence and an exponential decay result for a parabolic Cauchy problem by Henry []. Ma and Pečarić [] used the modification of Medveď’s method [] to study some new ... See full document
17
On some new weakly singular Volterra integral inequalities with maxima and their applications
... with singular kernel to prove global existence and exponential decay results for a parabolic differential ...linear singular integral inequalities of Henry ... See full document
16
On some fractional q-Integral inequalities
... Rahman, Basic Hypergeometric Series , 2nd Edition, (2004), Encyclopedia of Math- ematics and Its Applications, 96, Cambridge University Press, Cambridge.. [8] F[r] ... See full document
6
Some fractional proportional integral inequalities
... fractional integral operators and their applications in multiple disciplines of ...19], some researchers defined new fractional derivative operators by using exponential and Mittag-Leffler functions in the ... See full document
13
Some General Inequalities for Choquet Integral
... Riemann integral makes sense. Thus, the Choquet integral of a nonnegative measurable function with respect to a mono- tone measure on a measurable set is well ... See full document
8
On Some New Impulsive Integral Inequalities
... and integral inequalities play a fundamental role in global existence,uniqueness, stability, and other properties of the solutions of various nonlinear differential equations; see ...and integral ... See full document
8
Some nonlinear integral inequalities for Volterra-Fredholm Integral equations
... and integral inequalities occupy a very privileged position in the theory of differential and integral ...nonlinear integral inequalities have received considerable attention because of ... See full document
11
Quantum integral inequalities on finite intervals
... In this paper, some of the most important integral inequalities of analysis are extended to quantum calculus. These include the Hölder, Hermite-Hadamard, trapezoid, Ostrowski, ... See full document
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