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In this work, we estimated the different entropies like Shannon entropy, Rényi divergences, Csiszár divergence by using Jensen’s type functionals. The Zipf’s–Mandelbrot law and hybrid Zipf’s–Mandelbrot law are used to estimate the Shannon entropy. The Abel–Gontscharoff Green functions and Fink’s Identity are used to construct new inequalities and generalized them for m-convex function.

Understanding China's carbon dioxide (CO2) emission status is crucial for getting Carbon Neutrality status. The purpose of the paper is to calculate two possible scenarios for CO2 emission distribution and calculated input-output flows of CO2 emissions for every 31 China provinces for 2012, 2015 and 2017 years.

In this study using the input and output (IO) table's data for the selected years, the authors found the volume of CO2 emissions per one Yuan of revenue for the industry in 2012 and the coefficient of emission reduction compared to 2012.

Results show that in the industries with a huge volume of CO2 emissions, such as “Mining and washing of coal”, the authors cannot observe the reduction processes for years. Industries where emissions are being reduced are “Processing of petroleum, coking, nuclear fuel”, “Production and distribution of electric power and heat power”, “Agriculture, Forestry, Animal Husbandry and Fishery”. For the “construction” industry the situation with emissions did not change.

“Transport, storage, and postal services” and “Smelting and processing of metals” industries in China has the second place concerning emissions, but over the past period, emissions have been sufficiently reduced. “Construction” industry produces a lot of emissions, but this industry does not carry products characterized by large emissions from other industries. Authors can observe that Jiangsu produces a lot of CO2 emissions, but they do not take products characterized by significant emissions from other provinces. Shandong produces a lot of emissions and consumes many of products characterized by large emissions from other provinces. However, Shandong showed a reduction in CO2 emissions from 2012 to 2017.

This paper aims to enlarge ongoing debate about corporate social responsibility (CSR) proposing reflections about the role of cognitive and information flows in influencing companies’ approaches and market expectations related to CSR.

The paper builds upon the research streams related to the information asymmetry and cognitive distance, for identifying through the interpretative lens provided by systems studies, possible key drivers on which policymakers, researchers and practitioners should act for building a suitable, shared and long-term oriented path for CSR.

The paper defines a scenario map about CSR in the light of information asymmetry and cognitive distance. Such a map supports both researchers and practitioners in better understanding actions and paths required for building a shared approach to CSR.

Recognizing the multidimensionality of CSR and the multiple managerial and organizational contributions provided for underling its advantages for companies, the paper focuses the attention on the elements and conditions able to promote, stimulate and encourage companies’ CSR strategies.

The paper provides a fresh conceptual framework for explaining conditions and elements required for ensuring the success of strategies for CSR. Adopting a systems view, the paper overcomes the limitations related to a reductionist view about advantages and results of CSR to call the attention on the conditions that should be met for ensuring the emergence of a shared approach to CSR.