Approximation By Bandlimited Functions, Generalized K-Functionals and Generalized Moduli of Smoothness
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DOI: 10.1007/s10476-018-0302-1
Abstract: We study properties of generalized K-functionals and generalized moduli of smoothness in Lp(ℝ) spaces with 1 ≤ p < ∞ as well as in the space C(ℝ) of uniformly continuous and bounded functions. We obtain… read more here.
Keywords: generalized moduli; approximation; functionals generalized; generalized functionals ... See more keywords
On generalized convex functions and generalized subdifferential II
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DOI: 10.1007/s11590-020-01682-0
Abstract: We introduce and study the notion of the $$\left( \sigma ,y\right) $$ σ , y -conjugate of a proper $$\sigma $$ σ -convex function. Some relations between the $$\sigma $$ σ -subdifferentials and the Clarke–Rockafellar… read more here.
Keywords: convex functions; generalized convex; functions generalized; sigma ... See more keywords
Whittaker functions for generalized principal series representations of GSp(2,R)
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DOI: 10.1016/j.jfa.2018.09.011
Abstract: Abstract We study Whittaker functions for generalized principal series representations of GSp ( 2 , R ) induced from Siegel parabolic subgroup. We give Mellin–Barnes type integral representations of Whittaker functions belonging to certain K-types.… read more here.
Keywords: generalized principal; principal series; functions generalized; whittaker functions ... See more keywords
Generalized Arakawa-Kaneko zeta functions
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DOI: 10.1080/10652469.2018.1562450
Abstract: ABSTRACT Let p,x be real numbers, and s be a complex number, with , , and x+1>0. The zeta function is defined by where is a r-tuple positive integers, and is the one-variable multiple polylogarithms.… read more here.
Keywords: zeta functions; kaneko zeta; generalized arakawa; arakawa kaneko ... See more keywords
Best approximation of functions in generalized Hölder class
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DOI: 10.1186/s13660-018-1864-y
Abstract: Here, for the first time, error estimation of the functions g∈Hz(w)$g\in H_{z}^{(w)}$ and g˜∈Hz(w)$\tilde{g}\in H_{z}^{(w)}$ classes using TC1$TC^{1}$ method of F. S. (Fourier Series) and C. F. S. (Conjugate Fourier Series), respectively, are determined. The results of (Dhakal… read more here.
Keywords: lder class; best approximation; functions generalized; approximation functions ... See more keywords
On generalized strongly modified h-convex functions
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DOI: 10.1186/s13660-020-2281-6
Abstract: We derive some properties and results for a new extended class of convex functions, generalized strongly modified h-convex functions. Moreover, we discuss Schur-type, Hermite–Hadamard-type, and Fejer-type inequalities for this class. The crucial fact is that… read more here.
Keywords: convex functions; functions generalized; modified convex; strongly modified ... See more keywords
On Continuity of Functions With Generalized Derivatives
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DOI: 10.3103/s1066369x18110087
Abstract: We study the question of the continuity of functions for which the generalized gradient belongs to the Lorentz spaces. read more here.
Keywords: continuity functions; functions generalized; generalized derivatives;