In this paper, we introduce and investigate a refined generalization of convexity, termed the multiplicatively strongly s-convex function, and establish several of its fundamental algebraic properties. Within the framework of multiplicative calculus, this generalized convexity structure is employed to derive new midpoi...
Mohammad Akram, I. Kal'chuk, M. Tariq et al.· Axioms· 0 citations
In this paper, we initially establish a novel integral identity for multiplicatively differentiable functions within the framework of non-Newtonian calculus. By judiciously exploiting this identity, we derive a new Simpson’s-type integral inequality for multiplicatively strongly convex functions. Several significant sp...
Rosalio G. Artes, Saima Bhatti, M. Tariq et al.· International Journal of Ana...· 0 citations
This paper introduces, for the first time, a novel class of center-radius order P-superquadratic interval-valued functions and systematically examines their fundamental structural properties. Leveraging these properties, we establish new Jensen and Hermite-Hadamard (\(\mathcal{H.H}\)) type inequalities, together with t...
Ali Ahmed, Saima Bhatti, Iqrar Ali Pali et al.· International Journal of Ana...· 0 citations
Let G be a homogeneous Lie group of dimension ϰ. In this article, we investigate the mapping properties of the Wolff-type potential Wϑ,2 on G, associated with a homogeneous quasi-norm, and show that it coincides, up to an explicit dimensional constant, with the Riesz potential of doubled order 2ϑ on G. Using this ident...
Waqar Afzal, Mujahid Abbas, M. El-Naggar et al.· Fractal and Fractional· 3 citations
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