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2101
On boundedness and compactness of a certain class of kernel operators
Published 2011-01-01“…New conditions for Lp[0,∞)-Lq[0,∞) boundedness and compactness (1<p, q<∞) of the map f→w(x)∫a(x)b(x)k(x,y)f(y)v(y)dy with locally integrable weight functions v,w and a positive continuous kernel k(x,y) from the Oinarov’s class are obtained.…”
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2102
On smooth fuzzy subspaces
Published 2004-01-01“…Also, we introduce some concepts such as q-nbd systems, continuity, separation axioms, compactness, and connectedness in this sense. …”
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2103
High-Dimensional D. H. Lehmer Problem over Quarter Intervals
Published 2014-01-01“…By using the properties of character sum and the estimates of Dirichlet L-function, the previous result is improved to be the best possible in the case of q = p, an odd prime with p≡1(mod 4), which is shown by studying the mean square value of the error term.…”
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2104
Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable (𝛼,𝑚)-Convex Mappings
Published 2012-01-01“…The author establish several Hermite-Hadamard and Simpson-like type inequalities for mappings whose first derivative in absolute value aroused to the 𝑞th (𝑞≥1) power are (𝛼,𝑚)-convex. Some applications to special means of positive real numbers are also given.…”
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2105
Public Health Nursing in the 21st Century: Challenges and Opportunities for Women and Children’s Health
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2106
The Second Noether Theorem on Time Scales
Published 2013-01-01“…As corollaries we obtain the classical second Noether theorem, the second Noether theorem for the h-calculus and the second Noether theorem for the q-calculus.…”
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2107
On the Diophantine equation x2+2k=yn
Published 1997-01-01“…By factorizing the equation x2+2k=yn, n≥3, k-even, in the field Q(i), various theorems regarding the solutions of this equation in rational integers are proved. …”
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2108
Geometric Characterization of the Numerical Range of Parallel Sum of Two Orthogonal Projections
Published 2024-01-01“…Our goal in this article is to describe the closure of numerical range of parallel sum operator P:PQ for two orthogonal projections P and Q in BH as a closed convex hull of some explicit ellipses parameterized by points in the spectrum.…”
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2109
On BRK-Algebras
Published 2012-01-01“…The notion of BRK-algebra is introduced which is a generalization of BCK/BCI/BCH/Q/QS/BM-algebras. The concepts of 𝐺-part, 𝑝-radical, medial of a BRK-algebra are introduced and studied their properties. …”
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2110
The power mean and the logarithmic mean
Published 1982-01-01“…In a very interesting and recent note, Tung-Po Lin [1] obtained the least value q and the greatest value p such that Mp<L<Mqis valid for all distinct positive numbers x and y where Ms=(xs+ys2)1s and L=x−yIn x-In y…”
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2111
Bi-Univalent Function Classes Defined by Using a Second Einstein Function
Published 2022-01-01“…Motivated by q-calculus, subordination principle, and the second Einstein function, we define two families of bi-univalent analytic functions on the open unit disc of the complex plane. …”
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2112
Zur Theorie der allgemeine Strukturen in Kartanischen Räumen
Published 2002-12-01“…Diese Strukturen deffiniert mit Hilfe zwei Tensoren P und Q, welche die Identität PQ = ± E erfullt. Zusätzlich sind die affine Zussamenhänge, assozierte mit disen Strukturen, konstruiert und Bedingungen ihre Integralität aufstellt. …”
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2113
Large-scale Cosmic-ray Anisotropies with 19 yr of Data from the Pierre Auger Observatory
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2114
The derangement problem relative to the Mahonian process
Published 2003-01-01“…We survey n! plus q-derangement problems. Solutions to four Mahonian statistics arising in connection with cycle placement rules are presented. …”
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2115
Certain Analytic Functions Defined by Generalized Mittag-Leffler Function Associated with Conic Domain
Published 2022-01-01“…In the present paper, we investigate and introduce several properties of certain families of analytic functions in the open unit disc, which are defined by q-analogue of Mittag-Leffler function associated with conic domain. …”
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2116
The distribution of nonprincipal eigenvalues of singular second-order linear ordinary differential equations
Published 2006-01-01“…We obtain the asymptotic distribution of the nonprincipal eigenvalues associated with the singular problem x″+λq(t)x=0 on an infinite interval [a,+∞). Similar to the regular eigenvalue problem on compact intervals, we can prove a Weyl-type expansion of the eigenvalue counting function, and we derive the asymptotic behavior of the eigenvalues.…”
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2117
Generalized Fuzzy Quasi-Ideals of an Intraregular Abel-Grassmann's Groupoid
Published 2012-01-01“…We have introduced a new nonassociative class of Abel-Grassmann's groupoid, namely, intraregular and characterized it in terms of its (∈,∈∨q)-fuzzy quasi-ideals.…”
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2118
Novel CCI-OTA-Based Grounded Capacitor Current-Mode Biquadratic Bandpass and Lowpass Filters
Published 1994-01-01“…In these realizations, the parameter ω0 can be adjusted without disturbing the parameter ω0/ Q0…”
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2119
Functional Inequalities for Generalized Complete Elliptic Integrals with Two Parameters
Published 2019-01-01“…Our main results give (p,q)-analogues to the early results for classical complete elliptic integrals.…”
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2120
Exponential dichotomy for evolution families on the real line
Published 2006-01-01“…We show that the admissibility of the pair (Lp(ℝ,X),Lq(ℝ,X)) is equivalent to the uniform exponential dichotomy of an evolution family if and only if p≥q. As applications we obtain characterizations for uniform exponential dichotomy of semigroups.…”
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