131 Result(s)
within
Yu-**a Chu
Analysis
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Article
Open AccessRetraction Note: Hermite–Hadamard-type inequalities for \(\eta _{h}\) -convex functions via ψ-Riemann–Liouville fractional integrals
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Open AccessOn some new generalized fractional Bullen-type inequalities with applications
In this paper, we establish a Bullen-type generalized fractional integral identity for the differentiable functions and derive some new estimates for the Bullen-type fractional integral inequalities via the Ra...
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Open AccessOn some new midpoint inequalities for the functions of two variables via quantum calculus
In this paper, first we obtain a new identity for quantum integrals, the result is then used to prove midpoint type inequalities for differentiable coordinated convex map**s. The outcomes provided in this ar...
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Open AccessOstrowski-type inequalities for n-polynomial \(\mathscr{P}\) -convex function for k-fractional Hilfer–Katugampola derivative
In this article, we develop a novel framework to study a new class of convex functions known as n-polynomial P ...
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Open AccessMatrix computational collocation approach based on rational Chebyshev functions for nonlinear differential equations
In this work, a numerical technique for solving general nonlinear ordinary differential equations (ODEs) with variable coefficients and given conditions is introduced. The collocation method is used with ratio...
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Open AccessExtensions of Hermite–Hadamard inequalities for harmonically convex functions via generalized fractional integrals
In the paper, the authors establish some new Hermite–Hadamard type inequalities for harmonically convex functions via generalized fractional integrals. Moreover, the authors prove extensions of the Hermite–Had...
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Open AccessEditorial Expression of Concern: On approximating Mills ratio
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Open AccessA new generalization of some quantum integral inequalities for quantum differentiable convex functions
In this paper, we offer a new quantum integral identity, the result is then used to obtain some new estimates of Hermite–Hadamard inequalities for quantum integrals. The results presented in this paper are gen...
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Open AccessPost-quantum Hermite–Hadamard type inequalities for interval-valued convex functions
In this research, we introduce the notions of ( p , q ...
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Open AccessOn new generalized unified bounds via generalized exponentially harmonically s-convex functions on fractal sets
The visual beauty reflects the practicability and superiority of design dependent on the fractal theory. Based on the applicability in practice, it shows that it is the completely feasible, self-comparability ...
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Open AccessA divided differences based medium to analyze smoothness of the binary bivariate refinement schemes
In this article, we present the continuity analysis of the 3D models produced by the tensor product scheme of ( ...
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Open AccessNew Hermite–Hadamard-type inequalities for -convex fuzzy-interval-valued functions
In this paper, we introduce the non-convex interval-valued functions for fuzzy-interval-valued functions, which are called -convex fuzzy-interva...
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Open AccessThe refinement-schemes-based unified algorithms for certain nth order linear and nonlinear differential equations with a set of constraints
We first present a generalized class of binary interpolating refinement schemes and their properties. Then the refinement-schemes-based unified algorithms for the solution of certain nth order linear and nonlinea...
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Open AccessMathematical analysis of a within-host model of SARS-CoV-2
In this paper, we have mathematically analyzed a within-host model of SARS-CoV-2 which is used by Li et al. in the paper “The within-host viral kinetics of SARS-CoV-2” published in (Math. Biosci. Eng. 17(4):2853–...
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Open AccessWeighted Hermite–Hadamard type inclusions for products of co-ordinated convex interval-valued functions
In this paper, we establish some Hermite–Hadamard–Fejér type inclusions for the product of two co-ordinated convex interval-valued functions. These inclusions are generalizations of some results given in earli...
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Open AccessAnalysis of fractional multi-dimensional Navier–Stokes equation
In this paper, a hybrid method called variational iteration transform method has been implemented to solve fractional-order Navier–Stokes equation. Caputo operator describes fractional-order derivatives. The s...
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Open AccessNew quantum boundaries for quantum Simpson’s and quantum Newton’s type inequalities for preinvex functions
In this research, we derive two generalized integral identities involving the q ...
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Open AccessModeling of pressure–volume controlled artificial respiration with local derivatives
We attempt to motivate utilization of some local derivatives of arbitrary orders in clinical medicine. For this purpose, we provide two efficient solution methods for various problems that occur in nature by e...
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Open Access\((\mathrm{p},\mathrm{q})\) -Analysis of Montgomery identity and estimates of \((\mathrm{p},\mathrm{q})\) -bounds with applications
The main objective of this article is to establish a new post quantum version of Montgomery identity. Some estimates of associated post quantum bounds are also obtained. In order to obtain the main results of ...
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Open AccessSome k-fractional extension of Grüss-type inequalities via generalized Hilfer–Katugampola derivative
In this paper, we prove several inequalities of the Grüss type involving generalized k-fractional Hilfer–Katugampola derivative. In 1935, Grüss demonstrated a fascinating integral inequality, which gives approxim...
